diff --git a/pandas/tests/frame/methods/test_update.py b/pandas/tests/frame/methods/test_update.py
index f91238104ec89..81b25c0ad982e 100644
--- a/pandas/tests/frame/methods/test_update.py
+++ b/pandas/tests/frame/methods/test_update.py
@@ -197,6 +197,7 @@ def test_update_dt_column_with_NaT_create_column(self):
                 np.datetime64("2000-01-02T00:00:00"),
                 np.dtype("datetime64[ns]"),
             ),
+            (1, 2, pd.Int64Dtype()),
         ],
     )
     def test_update_preserve_dtype(self, value_df, value_other, dtype):
@@ -228,3 +229,19 @@ def test_update_on_duplicate_frame_unique_argument_index(self):
         expected = DataFrame({"a": [2, 2, 3]}, index=[1, 1, 2], dtype=np.dtype("intc"))
         df.update(other)
         tm.assert_frame_equal(df, expected)
+
+    def test_update_preserve_mixed_dtypes(self):
+        # GH#44104
+        dtype1 = pd.Int64Dtype()
+        dtype2 = pd.StringDtype()
+        df = DataFrame({"a": [1, 2, 3], "b": ["x", "y", "z"]})
+        df = df.astype({"a": dtype1, "b": dtype2})
+
+        other = DataFrame({"a": [4, 5], "b": ["a", "b"]})
+        other = other.astype({"a": dtype1, "b": dtype2})
+
+        expected = DataFrame({"a": [4, 5, 3], "b": ["a", "b", "z"]})
+        expected = expected.astype({"a": dtype1, "b": dtype2})
+
+        df.update(other)
+        tm.assert_frame_equal(df, expected)