diff --git a/pandas/tests/tools/test_to_datetime.py b/pandas/tests/tools/test_to_datetime.py
index 7351f50aea8c1..d727271bd6793 100644
--- a/pandas/tests/tools/test_to_datetime.py
+++ b/pandas/tests/tools/test_to_datetime.py
@@ -992,6 +992,25 @@ def test_convert_object_to_datetime_with_cache(
         )
         tm.assert_series_equal(result_series, expected_series)
 
+    @pytest.mark.parametrize("cache", [True, False])
+    @pytest.mark.parametrize(
+        ("input", "expected"),
+        (
+            (
+                Series([NaT] * 200 + [None] * 200, dtype="object"),
+                Series([NaT] * 400, dtype="datetime64[ns]"),
+            ),
+            (Series([None] * 200), Series([NaT] * 200, dtype="datetime64[ns]")),
+            (Series([""] * 200), Series([NaT] * 200, dtype="datetime64[ns]")),
+            (Series([pd.NA] * 200), Series([NaT] * 200, dtype="datetime64[ns]")),
+            (Series([np.NaN] * 200), Series([NaT] * 200, dtype="datetime64[ns]")),
+        ),
+    )
+    def test_to_datetime_converts_null_like_to_nat(self, cache, input, expected):
+        # GH35888
+        result = to_datetime(input, cache=cache)
+        tm.assert_series_equal(result, expected)
+
     @pytest.mark.parametrize(
         "date, format",
         [