diff --git a/pandas/tests/indexes/multi/test_constructors.py b/pandas/tests/indexes/multi/test_constructors.py
index 7fad59fc6654c..4dc3c5a4ae8b9 100644
--- a/pandas/tests/indexes/multi/test_constructors.py
+++ b/pandas/tests/indexes/multi/test_constructors.py
@@ -7,6 +7,8 @@
 import numpy as np
 import pytest
 
+from pandas.compat import pa_version_under1p01
+
 from pandas.core.dtypes.cast import construct_1d_object_array_from_listlike
 
 import pandas as pd
@@ -648,6 +650,28 @@ def test_from_frame():
     tm.assert_index_equal(expected, result)
 
 
+@pytest.mark.skipif(pa_version_under1p01, reason="Import Problem")
+def test_from_frame_missing_values_multiIndex():
+    # GH 39984
+    import pyarrow as pa
+
+    df = pd.DataFrame(
+        {
+            "a": Series([1, 2, None], dtype="Int64"),
+            "b": pd.Float64Dtype().__from_arrow__(pa.array([0.2, np.nan, None])),
+        }
+    )
+    multi_indexed = MultiIndex.from_frame(df)
+    expected = MultiIndex.from_arrays(
+        [
+            Series([1, 2, None]).astype("Int64"),
+            pd.Float64Dtype().__from_arrow__(pa.array([0.2, np.nan, None])),
+        ],
+        names=["a", "b"],
+    )
+    tm.assert_index_equal(multi_indexed, expected)
+
+
 @pytest.mark.parametrize(
     "non_frame",
     [