diff --git a/sklearn/feature_selection/_rfe.py b/sklearn/feature_selection/_rfe.py
index 0f82e1775ee15..0949d16b0a2ca 100644
--- a/sklearn/feature_selection/_rfe.py
+++ b/sklearn/feature_selection/_rfe.py
@@ -721,7 +721,7 @@ def fit(self, X, y, groups=None):
             func = delayed(_rfe_single_fit)
 
         scores = parallel(
-            func(rfe, self.estimator, X, y, train, test, scorer)
+            func(rfe, clone(self.estimator), X, y, train, test, scorer)
             for train, test in cv.split(X, y, groups)
         )