diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index 1b3b6934aa53a..22836f4c8f08c 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -551,14 +551,6 @@ def _summary(self, name=None) -> str:
         result = result.replace("'", "")
         return result
 
-    def _concat_same_dtype(self, to_concat, name):
-        """
-        Concatenate to_concat which has the same class.
-        """
-        new_data = type(self._data)._concat_same_type(to_concat)
-
-        return self._simple_new(new_data, name=name)
-
     def shift(self, periods=1, freq=None):
         """
         Shift index by desired number of time frequency increments.