diff --git a/pandas/tests/indexes/multi/test_compat.py b/pandas/tests/indexes/multi/test_compat.py
index 60608e0def7f5..f91856c3948a0 100644
--- a/pandas/tests/indexes/multi/test_compat.py
+++ b/pandas/tests/indexes/multi/test_compat.py
@@ -1,6 +1,7 @@
 import numpy as np
 import pytest
 
+import pandas as pd
 from pandas import MultiIndex
 import pandas._testing as tm
 
@@ -83,3 +84,39 @@ def test_inplace_mutation_resets_values():
 
     # Should have correct values
     tm.assert_almost_equal(exp_values, new_values)
+
+
+def test_boxable_categorical_values():
+    cat = pd.Categorical(pd.date_range("2012-01-01", periods=3, freq="H"))
+    result = MultiIndex.from_product([["a", "b", "c"], cat]).values
+    expected = pd.Series(
+        [
+            ("a", pd.Timestamp("2012-01-01 00:00:00")),
+            ("a", pd.Timestamp("2012-01-01 01:00:00")),
+            ("a", pd.Timestamp("2012-01-01 02:00:00")),
+            ("b", pd.Timestamp("2012-01-01 00:00:00")),
+            ("b", pd.Timestamp("2012-01-01 01:00:00")),
+            ("b", pd.Timestamp("2012-01-01 02:00:00")),
+            ("c", pd.Timestamp("2012-01-01 00:00:00")),
+            ("c", pd.Timestamp("2012-01-01 01:00:00")),
+            ("c", pd.Timestamp("2012-01-01 02:00:00")),
+        ]
+    ).values
+    tm.assert_numpy_array_equal(result, expected)
+    result = pd.DataFrame({"a": ["a", "b", "c"], "b": cat, "c": np.array(cat)}).values
+    expected = pd.DataFrame(
+        {
+            "a": ["a", "b", "c"],
+            "b": [
+                pd.Timestamp("2012-01-01 00:00:00"),
+                pd.Timestamp("2012-01-01 01:00:00"),
+                pd.Timestamp("2012-01-01 02:00:00"),
+            ],
+            "c": [
+                pd.Timestamp("2012-01-01 00:00:00"),
+                pd.Timestamp("2012-01-01 01:00:00"),
+                pd.Timestamp("2012-01-01 02:00:00"),
+            ],
+        }
+    ).values
+    tm.assert_numpy_array_equal(result, expected)