diff --git a/sklearn/utils/_test_common/instance_generator.py b/sklearn/utils/_test_common/instance_generator.py
index 158726c3574c4..58f4d8f9d4cc4 100644
--- a/sklearn/utils/_test_common/instance_generator.py
+++ b/sklearn/utils/_test_common/instance_generator.py
@@ -539,7 +539,11 @@
             dict(solver="liblinear"),
             dict(solver="newton-cg"),
             dict(solver="newton-cholesky"),
-        ]
+        ],
+        "check_classifiers_train": [
+            dict(),
+            dict(solver="newton-cholesky", max_iter=1000, tol=1e-12),
+        ],
     },
     MDS: {"check_dict_unchanged": dict(max_iter=5, n_components=1, n_init=2)},
     MiniBatchDictionaryLearning: {