diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index 6fafbd9590143..93b615fe7b101 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -4168,7 +4168,7 @@ def reindex(
         limit : int, optional
             Maximum number of consecutive labels in ``target`` to match for
             inexact matches.
-        tolerance : int or float, optional
+        tolerance : int, float, or list-like, optional
             Maximum distance between original and new labels for inexact
             matches. The values of the index at the matching locations must
             satisfy the equation ``abs(index[indexer] - target) <= tolerance``.