diff --git a/build_tools/azure/pylatest_conda_forge_mkl_linux-64_conda.lock b/build_tools/azure/pylatest_conda_forge_mkl_linux-64_conda.lock
index 3f948012a3f94..61229cd6ccf73 100644
--- a/build_tools/azure/pylatest_conda_forge_mkl_linux-64_conda.lock
+++ b/build_tools/azure/pylatest_conda_forge_mkl_linux-64_conda.lock
@@ -1,6 +1,6 @@
 # Generated by conda-lock.
 # platform: linux-64
-# input_hash: 0ef2318a417ecd9806c39a466da49a53e8dab8b199cceb5bffcdd59c0a293907
+# input_hash: cdc27128862fe4a9c586b6961e094936bdb919a4b142282ae0370d7e4cb2c9a4
 @EXPLICIT
 https://conda.anaconda.org/conda-forge/linux-64/_libgcc_mutex-0.1-conda_forge.tar.bz2#d7c89558ba9fa0495403155b64376d81
 https://conda.anaconda.org/conda-forge/linux-64/ca-certificates-2024.2.2-hbcca054_0.conda#2f4327a1cbe7f022401b236e915a5fef
@@ -200,6 +200,7 @@ https://conda.anaconda.org/conda-forge/linux-64/liblapack-3.9.0-16_linux64_mkl.t
 https://conda.anaconda.org/conda-forge/linux-64/aws-sdk-cpp-1.10.57-h85b1a90_19.conda#0605d3d60857fc07bd6a11e878fe0f08
 https://conda.anaconda.org/conda-forge/linux-64/numpy-1.26.4-py311h64a7726_0.conda#a502d7aad449a1206efb366d6a12c52d
 https://conda.anaconda.org/conda-forge/linux-64/qt-main-5.15.8-h5810be5_19.conda#54866f708d43002a514d0b9b0f84bc11
+https://conda.anaconda.org/conda-forge/noarch/array-api-strict-1.1-pyhd8ed1ab_0.conda#db4260fac4412db30bd5213b6c9f6ecc
 https://conda.anaconda.org/conda-forge/linux-64/contourpy-1.2.0-py311h9547e67_0.conda#40828c5b36ef52433e21f89943e09f33
 https://conda.anaconda.org/conda-forge/linux-64/libarrow-12.0.1-hb87d912_8_cpu.conda#3f3b11398fe79b578e3c44dd00a44e4a
 https://conda.anaconda.org/conda-forge/linux-64/pandas-2.2.1-py311h320fe9a_0.conda#aac8d7137fedc2fd5f8320bf50e4204c
diff --git a/build_tools/azure/pylatest_conda_forge_mkl_linux-64_environment.yml b/build_tools/azure/pylatest_conda_forge_mkl_linux-64_environment.yml
index 8ad97b91f8fce..f4dc622417040 100644
--- a/build_tools/azure/pylatest_conda_forge_mkl_linux-64_environment.yml
+++ b/build_tools/azure/pylatest_conda_forge_mkl_linux-64_environment.yml
@@ -28,3 +28,4 @@ dependencies:
   - polars
   - pyarrow
   - array-api-compat
+  - array-api-strict
diff --git a/build_tools/update_environments_and_lock_files.py b/build_tools/update_environments_and_lock_files.py
index add176b93ba82..dbb23f53a362b 100644
--- a/build_tools/update_environments_and_lock_files.py
+++ b/build_tools/update_environments_and_lock_files.py
@@ -104,6 +104,7 @@ def remove_from(alist, to_remove):
             "polars",
             "pyarrow",
             "array-api-compat",
+            "array-api-strict",
         ],
         "package_constraints": {
             "blas": "[build=mkl]",
diff --git a/doc/modules/array_api.rst b/doc/modules/array_api.rst
index 9a114cad152b4..6037d644d3f7d 100644
--- a/doc/modules/array_api.rst
+++ b/doc/modules/array_api.rst
@@ -25,7 +25,7 @@ At this stage, this support is **considered experimental** and must be enabled
 explicitly as explained in the following.
 
 .. note::
-    Currently, only `cupy.array_api`, `numpy.array_api`, `cupy`, and `PyTorch`
+    Currently, only `cupy.array_api`, `array-api-strict`, `cupy`, and `PyTorch`
     are known to work with scikit-learn's estimators.
 
 Example usage
diff --git a/sklearn/decomposition/tests/test_pca.py b/sklearn/decomposition/tests/test_pca.py
index 1ec359a028f8c..b0fd32d1cbf62 100644
--- a/sklearn/decomposition/tests/test_pca.py
+++ b/sklearn/decomposition/tests/test_pca.py
@@ -975,7 +975,7 @@ def test_pca_mle_array_api_compliance(
 
 def test_array_api_error_and_warnings_on_unsupported_params():
     pytest.importorskip("array_api_compat")
-    xp = pytest.importorskip("numpy.array_api")
+    xp = pytest.importorskip("array_api_strict")
     iris_xp = xp.asarray(iris.data)
 
     pca = PCA(n_components=2, svd_solver="arpack", random_state=0)
diff --git a/sklearn/linear_model/_base.py b/sklearn/linear_model/_base.py
index f07e974542a5b..be8c9097332eb 100644
--- a/sklearn/linear_model/_base.py
+++ b/sklearn/linear_model/_base.py
@@ -33,7 +33,7 @@
     _fit_context,
 )
 from ..utils import check_array, check_random_state
-from ..utils._array_api import get_namespace
+from ..utils._array_api import get_namespace, indexing_dtype
 from ..utils._seq_dataset import (
     ArrayDataset32,
     ArrayDataset64,
@@ -350,7 +350,7 @@ def predict(self, X):
         xp, _ = get_namespace(X)
         scores = self.decision_function(X)
         if len(scores.shape) == 1:
-            indices = xp.astype(scores > 0, int)
+            indices = xp.astype(scores > 0, indexing_dtype(xp))
         else:
             indices = xp.argmax(scores, axis=1)
 
diff --git a/sklearn/utils/_array_api.py b/sklearn/utils/_array_api.py
index 009db4d7b0e71..70e210e7e913e 100644
--- a/sklearn/utils/_array_api.py
+++ b/sklearn/utils/_array_api.py
@@ -10,7 +10,7 @@
 from .._config import get_config
 from .fixes import parse_version
 
-_NUMPY_NAMESPACE_NAMES = {"numpy", "array_api_compat.numpy", "numpy.array_api"}
+_NUMPY_NAMESPACE_NAMES = {"numpy", "array_api_compat.numpy"}
 
 
 def yield_namespace_device_dtype_combinations(include_numpy_namespaces=True):
@@ -42,8 +42,8 @@ def yield_namespace_device_dtype_combinations(include_numpy_namespaces=True):
         # tests are regular numpy arrays without any "device" attribute.
         "numpy",
         # Stricter NumPy-based Array API implementation. The
-        # numpy.array_api.Array instances always a dummy "device" attribute.
-        "numpy.array_api",
+        # array_api_strict.Array instances always have a dummy "device" attribute.
+        "array_api_strict",
         "cupy",
         "cupy.array_api",
         "torch",
@@ -194,7 +194,6 @@ def _isdtype_single(dtype, kind, *, xp):
             return dtype in supported_float_dtypes(xp)
         elif kind == "complex floating":
             # Some name spaces do not have complex, such as cupy.array_api
-            # and numpy.array_api
             complex_dtypes = set()
             if hasattr(xp, "complex64"):
                 complex_dtypes.add(xp.complex64)
@@ -300,14 +299,20 @@ def wrapped_func(*args, **kwargs):
 class _NumPyAPIWrapper:
     """Array API compat wrapper for any numpy version
 
-    NumPy < 1.22 does not expose the numpy.array_api namespace. This
-    wrapper makes it possible to write code that uses the standard
-    Array API while working with any version of NumPy supported by
-    scikit-learn.
+    NumPy < 2 does not implement the namespace. NumPy 2 and later should
+    progressively implement more an more of the latest Array API spec but this
+    is still work in progress at this time.
+
+    This wrapper makes it possible to write code that uses the standard Array
+    API while working with any version of NumPy supported by scikit-learn.
 
     See the `get_namespace()` public function for more details.
     """
 
+    # TODO: once scikit-learn drops support for NumPy < 2, this class can be
+    # removed, assuming Array API compliance of NumPy 2 is actually sufficient
+    # for scikit-learn's needs.
+
     # Creation functions in spec:
     # https://data-apis.org/array-api/latest/API_specification/creation_functions.html
     _CREATION_FUNCS = {
@@ -447,18 +452,15 @@ def _remove_non_arrays(*arrays, remove_none=True, remove_types=(str,)):
 def get_namespace(*arrays, remove_none=True, remove_types=(str,), xp=None):
     """Get namespace of arrays.
 
-    Introspect `arrays` arguments and return their common Array API
-    compatible namespace object, if any. NumPy 1.22 and later can
-    construct such containers using the `numpy.array_api` namespace
-    for instance.
+    Introspect `arrays` arguments and return their common Array API compatible
+    namespace object, if any.
 
     See: https://numpy.org/neps/nep-0047-array-api-standard.html
 
-    If `arrays` are regular numpy arrays, an instance of the
-    `_NumPyAPIWrapper` compatibility wrapper is returned instead.
+    If `arrays` are regular numpy arrays, an instance of the `_NumPyAPIWrapper`
+    compatibility wrapper is returned instead.
 
-    Namespace support is not enabled by default. To enabled it
-    call:
+    Namespace support is not enabled by default. To enabled it call:
 
       sklearn.set_config(array_api_dispatch=True)
 
@@ -467,10 +469,9 @@ def get_namespace(*arrays, remove_none=True, remove_types=(str,), xp=None):
       with sklearn.config_context(array_api_dispatch=True):
           # your code here
 
-    Otherwise an instance of the `_NumPyAPIWrapper`
-    compatibility wrapper is always returned irrespective of
-    the fact that arrays implement the `__array_namespace__`
-    protocol or not.
+    Otherwise an instance of the `_NumPyAPIWrapper` compatibility wrapper is
+    always returned irrespective of the fact that arrays implement the
+    `__array_namespace__` protocol or not.
 
     Parameters
     ----------
@@ -524,7 +525,7 @@ def get_namespace(*arrays, remove_none=True, remove_types=(str,), xp=None):
 
     # These namespaces need additional wrapping to smooth out small differences
     # between implementations
-    if namespace.__name__ in {"numpy.array_api", "cupy.array_api"}:
+    if namespace.__name__ in {"cupy.array_api"}:
         namespace = _ArrayAPIWrapper(namespace)
 
     return namespace, is_array_api_compliant
@@ -763,3 +764,27 @@ def _estimator_with_converted_arrays(estimator, converter):
 def _atol_for_type(dtype):
     """Return the absolute tolerance for a given numpy dtype."""
     return numpy.finfo(dtype).eps * 100
+
+
+def indexing_dtype(xp):
+    """Return a platform-specific integer dtype suitable for indexing.
+
+    On 32-bit platforms, this will typically return int32 and int64 otherwise.
+
+    Note: using dtype is recommended for indexing transient array
+    datastructures. For long-lived arrays, such as the fitted attributes of
+    estimators, it is instead recommended to use platform-independent int32 if
+    we do not expect to index more 2B elements. Using fixed dtypes simplifies
+    the handling of serialized models, e.g. to deploy a model fit on a 64-bit
+    platform to a target 32-bit platform such as WASM/pyodide.
+    """
+    # Currently this is implemented with simple hack that assumes that
+    # following "may be" statements in the Array API spec always hold:
+    # > The default integer data type should be the same across platforms, but
+    # > the default may vary depending on whether Python is 32-bit or 64-bit.
+    # > The default array index data type may be int32 on 32-bit platforms, but
+    # > the default should be int64 otherwise.
+    # https://data-apis.org/array-api/latest/API_specification/data_types.html#default-data-types
+    # TODO: once sufficiently adopted, we might want to instead rely on the
+    # newer inspection API: https://github.com/data-apis/array-api/issues/640
+    return xp.asarray(0).dtype
diff --git a/sklearn/utils/_testing.py b/sklearn/utils/_testing.py
index d21e4bf1d0ccc..f8c58004dbbcd 100644
--- a/sklearn/utils/_testing.py
+++ b/sklearn/utils/_testing.py
@@ -1054,13 +1054,7 @@ def fit_transform(self, X, y=None):
 
 def _array_api_for_tests(array_namespace, device):
     try:
-        if array_namespace == "numpy.array_api":
-            # FIXME: once it is not experimental anymore
-            with ignore_warnings(category=UserWarning):
-                # UserWarning: numpy.array_api submodule is still experimental.
-                array_mod = importlib.import_module(array_namespace)
-        else:
-            array_mod = importlib.import_module(array_namespace)
+        array_mod = importlib.import_module(array_namespace)
     except ModuleNotFoundError:
         raise SkipTest(
             f"{array_namespace} is not installed: not checking array_api input"
diff --git a/sklearn/utils/tests/test_array_api.py b/sklearn/utils/tests/test_array_api.py
index 6b5f600fb01c2..98ba444bf98b0 100644
--- a/sklearn/utils/tests/test_array_api.py
+++ b/sklearn/utils/tests/test_array_api.py
@@ -7,6 +7,7 @@
 
 from sklearn._config import config_context
 from sklearn.base import BaseEstimator
+from sklearn.utils import _IS_32BIT
 from sklearn.utils._array_api import (
     _ArrayAPIWrapper,
     _asarray_with_order,
@@ -19,6 +20,7 @@
     _NumPyAPIWrapper,
     device,
     get_namespace,
+    indexing_dtype,
     supported_float_dtypes,
     yield_namespace_device_dtype_combinations,
 )
@@ -27,10 +29,6 @@
     skip_if_array_api_compat_not_configured,
 )
 
-pytestmark = pytest.mark.filterwarnings(
-    "ignore:The numpy.array_api submodule:UserWarning"
-)
-
 
 @pytest.mark.parametrize("X", [numpy.asarray([1, 2, 3]), [1, 2, 3]])
 def test_get_namespace_ndarray_default(X):
@@ -68,14 +66,13 @@ def test_get_namespace_ndarray_with_dispatch():
 @skip_if_array_api_compat_not_configured
 def test_get_namespace_array_api():
     """Test get_namespace for ArrayAPI arrays."""
-    xp = pytest.importorskip("numpy.array_api")
+    xp = pytest.importorskip("array_api_strict")
 
     X_np = numpy.asarray([[1, 2, 3]])
     X_xp = xp.asarray(X_np)
     with config_context(array_api_dispatch=True):
         xp_out, is_array_api_compliant = get_namespace(X_xp)
         assert is_array_api_compliant
-        assert isinstance(xp_out, _ArrayAPIWrapper)
 
         with pytest.raises(TypeError):
             xp_out, is_array_api_compliant = get_namespace(X_xp, X_np)
@@ -91,8 +88,8 @@ def __init__(self, array_namespace, name):
 
 def test_array_api_wrapper_astype():
     """Test _ArrayAPIWrapper for ArrayAPIs that is not NumPy."""
-    numpy_array_api = pytest.importorskip("numpy.array_api")
-    xp_ = _AdjustableNameAPITestWrapper(numpy_array_api, "wrapped_numpy.array_api")
+    array_api_strict = pytest.importorskip("array_api_strict")
+    xp_ = _AdjustableNameAPITestWrapper(array_api_strict, "array_api_strict")
     xp = _ArrayAPIWrapper(xp_)
 
     X = xp.asarray(([[1, 2, 3], [3, 4, 5]]), dtype=xp.float64)
@@ -103,7 +100,7 @@ def test_array_api_wrapper_astype():
     assert X_converted.dtype == xp.float32
 
 
-@pytest.mark.parametrize("array_api", ["numpy", "numpy.array_api"])
+@pytest.mark.parametrize("array_api", ["numpy", "array_api_strict"])
 def test_asarray_with_order(array_api):
     """Test _asarray_with_order passes along order for NumPy arrays."""
     xp = pytest.importorskip(array_api)
@@ -117,8 +114,8 @@ def test_asarray_with_order(array_api):
 
 def test_asarray_with_order_ignored():
     """Test _asarray_with_order ignores order for Generic ArrayAPI."""
-    xp = pytest.importorskip("numpy.array_api")
-    xp_ = _AdjustableNameAPITestWrapper(xp, "wrapped.array_api")
+    xp = pytest.importorskip("array_api_strict")
+    xp_ = _AdjustableNameAPITestWrapper(xp, "array_api_strict")
 
     X = numpy.asarray([[1.2, 3.4, 5.1], [3.4, 5.5, 1.2]], order="C")
     X = xp_.asarray(X)
@@ -308,7 +305,7 @@ def __init__(self, device_name):
 # the following upstream issue has been fixed:
 # https://github.com/cupy/cupy/issues/8180
 @skip_if_array_api_compat_not_configured
-@pytest.mark.parametrize("library", ["numpy", "numpy.array_api", "torch"])
+@pytest.mark.parametrize("library", ["numpy", "array_api_strict", "torch"])
 @pytest.mark.parametrize(
     "X,reduction,expected",
     [
@@ -391,7 +388,7 @@ def fit(self, X, y=None):
     "array_namespace, converter",
     [
         ("torch", lambda array: array.cpu().numpy()),
-        ("numpy.array_api", lambda array: numpy.asarray(array)),
+        ("array_api_strict", lambda array: numpy.asarray(array)),
         ("cupy.array_api", lambda array: array._array.get()),
     ],
 )
@@ -409,7 +406,7 @@ def test_convert_estimator_to_ndarray(array_namespace, converter):
 @skip_if_array_api_compat_not_configured
 def test_convert_estimator_to_array_api():
     """Convert estimator attributes to ArrayAPI arrays."""
-    xp = pytest.importorskip("numpy.array_api")
+    xp = pytest.importorskip("array_api_strict")
 
     X_np = numpy.asarray([[1.3, 4.5]])
     est = SimpleEstimator().fit(X_np)
@@ -438,7 +435,7 @@ def test_get_namespace_array_api_isdtype(wrapper):
     """Test isdtype implementation from _ArrayAPIWrapper and _NumPyAPIWrapper."""
 
     if wrapper == _ArrayAPIWrapper:
-        xp_ = pytest.importorskip("numpy.array_api")
+        xp_ = pytest.importorskip("array_api_strict")
         xp = _ArrayAPIWrapper(xp_)
     else:
         xp = _NumPyAPIWrapper()
@@ -473,3 +470,15 @@ def test_get_namespace_array_api_isdtype(wrapper):
 
     with pytest.raises(ValueError, match="Unrecognized data type"):
         assert xp.isdtype(xp.int16, "unknown")
+
+
+@pytest.mark.parametrize(
+    "namespace, _device, _dtype", yield_namespace_device_dtype_combinations()
+)
+def test_indexing_dtype(namespace, _device, _dtype):
+    xp = _array_api_for_tests(namespace, _device)
+
+    if _IS_32BIT:
+        assert indexing_dtype(xp) == xp.int32
+    else:
+        assert indexing_dtype(xp) == xp.int64
diff --git a/sklearn/utils/tests/test_estimator_checks.py b/sklearn/utils/tests/test_estimator_checks.py
index 1e0a083a9c989..8ac7ac9db2e9a 100644
--- a/sklearn/utils/tests/test_estimator_checks.py
+++ b/sklearn/utils/tests/test_estimator_checks.py
@@ -529,15 +529,15 @@ def test_check_array_api_input():
     except ModuleNotFoundError:
         raise SkipTest("array_api_compat is required to run this test")
     try:
-        importlib.import_module("numpy.array_api")
+        importlib.import_module("array_api_strict")
     except ModuleNotFoundError:  # pragma: nocover
-        raise SkipTest("numpy.array_api is required to run this test")
+        raise SkipTest("array-api-strict is required to run this test")
 
     with raises(AssertionError, match="Not equal to tolerance"):
         check_array_api_input(
             "BrokenArrayAPI",
             BrokenArrayAPI(),
-            array_namespace="numpy.array_api",
+            array_namespace="array_api_strict",
             check_values=True,
         )
 
diff --git a/sklearn/utils/tests/test_validation.py b/sklearn/utils/tests/test_validation.py
index 0cd65685c0a85..715adfb3b003d 100644
--- a/sklearn/utils/tests/test_validation.py
+++ b/sklearn/utils/tests/test_validation.py
@@ -1972,7 +1972,7 @@ def test_pandas_array_returns_ndarray(input_values):
 
 
 @skip_if_array_api_compat_not_configured
-@pytest.mark.parametrize("array_namespace", ["numpy.array_api", "cupy.array_api"])
+@pytest.mark.parametrize("array_namespace", ["array_api_strict", "cupy.array_api"])
 def test_check_array_array_api_has_non_finite(array_namespace):
     """Checks that Array API arrays checks non-finite correctly."""
     xp = pytest.importorskip(array_namespace)