diff --git a/pandas/core/arrays/categorical.py b/pandas/core/arrays/categorical.py
index 53051baa8e67e..5f4bd801429a4 100644
--- a/pandas/core/arrays/categorical.py
+++ b/pandas/core/arrays/categorical.py
@@ -302,7 +302,7 @@ class Categorical(ExtensionArray, PandasObject):
     __array_priority__ = 1000
     _dtype = CategoricalDtype(ordered=False)
     # tolist is not actually deprecated, just suppressed in the __dir__
-    _deprecations = PandasObject._deprecations | frozenset(["tolist", "itemsize"])
+    _deprecations = PandasObject._deprecations | frozenset(["tolist"])
     _typ = "categorical"
 
     def __init__(
diff --git a/pandas/core/indexes/category.py b/pandas/core/indexes/category.py
index 531014e4affec..5552efefa1c4c 100644
--- a/pandas/core/indexes/category.py
+++ b/pandas/core/indexes/category.py
@@ -361,11 +361,6 @@ def values(self):
         """ return the underlying data, which is a Categorical """
         return self._data
 
-    @property
-    def itemsize(self):
-        # Size of the items in categories, not codes.
-        return self.values.itemsize
-
     def _wrap_setop_result(self, other, result):
         name = get_op_result_name(self, other)
         return self._shallow_copy(result, name=name)