diff --git a/pandas/tests/dtypes/test_common.py b/pandas/tests/dtypes/test_common.py
index be5cb81506efd..fb86ad63b9ed8 100644
--- a/pandas/tests/dtypes/test_common.py
+++ b/pandas/tests/dtypes/test_common.py
@@ -20,6 +20,7 @@
 
 import pandas as pd
 import pandas._testing as tm
+from pandas.api.types import pandas_dtype
 from pandas.arrays import SparseArray
 
 
@@ -419,6 +420,23 @@ def test_is_not_int64_dtype(dtype):
     assert not com.is_int64_dtype(dtype)
 
 
+def test_type_comparison_with_numeric_ea_dtype(any_numeric_ea_dtype):
+    # GH#43038
+    assert pandas_dtype(any_numeric_ea_dtype) == any_numeric_ea_dtype
+
+
+def test_type_comparison_with_real_numpy_dtype(any_real_numpy_dtype):
+    # GH#43038
+    assert pandas_dtype(any_real_numpy_dtype) == any_real_numpy_dtype
+
+
+def test_type_comparison_with_signed_int_ea_dtype_and_signed_int_numpy_dtype(
+    any_signed_int_ea_dtype, any_signed_int_numpy_dtype
+):
+    # GH#43038
+    assert not pandas_dtype(any_signed_int_ea_dtype) == any_signed_int_numpy_dtype
+
+
 def test_is_datetime64_any_dtype():
     assert not com.is_datetime64_any_dtype(int)
     assert not com.is_datetime64_any_dtype(str)