diff --git a/sklearn/linear_model/_base.py b/sklearn/linear_model/_base.py
index 8b5102ecdd403..6b94d6ecc4e49 100644
--- a/sklearn/linear_model/_base.py
+++ b/sklearn/linear_model/_base.py
@@ -536,10 +536,11 @@ class LinearRegression(MultiOutputMixin, RegressorMixin, LinearModel):
 
     n_jobs : int, default=None
         The number of jobs to use for the computation. This will only provide
-        speedup for n_targets > 1 and sufficient large problems.
-        ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context.
-        ``-1`` means using all processors. See :term:`Glossary <n_jobs>`
-        for more details.
+        speedup in case of sufficiently large problems, that is if firstly
+        `n_targets > 1` and secondly `X` is sparse or if `positive` is set
+        to `True`. ``None`` means 1 unless in a
+        :obj:`joblib.parallel_backend` context. ``-1`` means using all
+        processors. See :term:`Glossary <n_jobs>` for more details.
 
     positive : bool, default=False
         When set to ``True``, forces the coefficients to be positive. This