diff --git a/python/pyarrow/tests/test_pandas.py b/python/pyarrow/tests/test_pandas.py
index daa9c8314ad..9a65832125b 100644
--- a/python/pyarrow/tests/test_pandas.py
+++ b/python/pyarrow/tests/test_pandas.py
@@ -525,11 +525,6 @@ def test_mixed_column_names(self):
                                         preserve_index=True)
 
     def test_binary_column_name(self):
-        if Version("2.0.0") <= Version(pd.__version__) < Version("3.0.0"):
-            # TODO: regression in pandas, hopefully fixed in next version
-            # https://issues.apache.org/jira/browse/ARROW-18394
-            # https://github.com/pandas-dev/pandas/issues/50127
-            pytest.skip("Regression in pandas 2.0.0")
         column_data = ['い']
         key = 'あ'.encode()
         data = {key: column_data}
@@ -3309,12 +3304,6 @@ def _fully_loaded_dataframe_example():
 
 @pytest.mark.parametrize('columns', ([b'foo'], ['foo']))
 def test_roundtrip_with_bytes_unicode(columns):
-    if Version("2.0.0") <= Version(pd.__version__) < Version("3.0.0"):
-        # TODO: regression in pandas, hopefully fixed in next version
-        # https://issues.apache.org/jira/browse/ARROW-18394
-        # https://github.com/pandas-dev/pandas/issues/50127
-        pytest.skip("Regression in pandas 2.0.0")
-
     df = pd.DataFrame(columns=columns)
     table1 = pa.Table.from_pandas(df)
     table2 = pa.Table.from_pandas(table1.to_pandas())