diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 49e5bc24786dd..c5d1ade924d15 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -11917,6 +11917,11 @@ def _reindex_for_setitem(value: DataFrame | Series, index: Index) -> ArrayLike:
     # reindex if necessary
 
     if value.index.equals(index) or not len(index):
+        if isinstance(value, DataFrame):
+            dtype_list = value.dtypes.unique()
+            if len(dtype_list) == 1:
+                dtype = dtype_list[0].name.lower()
+                return value._values.astype(dtype).copy()
         return value._values.copy()
 
     # GH#4107
diff --git a/pandas/tests/indexing/multiindex/test_multiindex.py b/pandas/tests/indexing/multiindex/test_multiindex.py
index 08e15545cb998..bf74a52e81dd3 100644
--- a/pandas/tests/indexing/multiindex/test_multiindex.py
+++ b/pandas/tests/indexing/multiindex/test_multiindex.py
@@ -227,3 +227,17 @@ def test_multiindex_repeated_keys(self):
             ],
             Series([1, 1, 2, 2], MultiIndex.from_arrays([["a", "a", "b", "b"]])),
         )
+
+    @pytest.mark.parametrize("data_type", ["int64", "int32", "float64", "float32"])
+    def test_multiindex_dataframe_incorrect_type(self, data_type):
+        # GH 46896
+        df = DataFrame(
+            columns=MultiIndex.from_tuples([("a", "c"), ("a", "d")]),
+            data=[[1, 2], [3, 4]],
+        )
+        df["a"] = df["a"].astype(data_type)
+
+        result = df.dtypes
+        expected = Series(data=[data_type, data_type], index=[["a", "a"], ["c", "d"]])
+
+        tm.assert_series_equal(result, expected)