diff --git a/dask/dataframe/io/tests/test_parquet.py b/dask/dataframe/io/tests/test_parquet.py
index d857d0f0268a..6180c1e2dc5c 100644
--- a/dask/dataframe/io/tests/test_parquet.py
+++ b/dask/dataframe/io/tests/test_parquet.py
@@ -2424,15 +2424,13 @@ def test_append_cat_fp(tmpdir, engine):
         pytest.param(
             pd.DataFrame({"x": [3, 2, 1]}).astype("M8[us]"),
             marks=pytest.mark.xfail(
-                PANDAS_GT_200 and pyarrow_version < parse_version("13.0.0.dev"),
-                reason="https://github.com/apache/arrow/issues/15079",
+                PANDAS_GT_200, reason="https://github.com/apache/arrow/issues/15079"
             ),
         ),
         pytest.param(
             pd.DataFrame({"x": [3, 2, 1]}).astype("M8[ms]"),
             marks=pytest.mark.xfail(
-                PANDAS_GT_200 and pyarrow_version < parse_version("13.0.0.dev"),
-                reason="https://github.com/apache/arrow/issues/15079",
+                PANDAS_GT_200, reason="https://github.com/apache/arrow/issues/15079"
             ),
         ),
         pd.DataFrame({"x": [3, 2, 1]}).astype("uint16"),
@@ -3373,13 +3371,10 @@ def test_pandas_timestamp_overflow_pyarrow(tmpdir):
         table, f"{tmpdir}/file.parquet", use_deprecated_int96_timestamps=False
     )
 
-    if pyarrow_version < parse_version("13.0.0.dev"):
-        # This will raise by default due to overflow
-        with pytest.raises(pa.lib.ArrowInvalid) as e:
-            dd.read_parquet(str(tmpdir), engine="pyarrow").compute()
-            assert "out of bounds" in str(e.value)
-    else:
+    # This will raise by default due to overflow
+    with pytest.raises(pa.lib.ArrowInvalid) as e:
         dd.read_parquet(str(tmpdir), engine="pyarrow").compute()
+    assert "out of bounds" in str(e.value)
 
     from dask.dataframe.io.parquet.arrow import ArrowDatasetEngine as ArrowEngine
 
diff --git a/dask/dataframe/tests/test_groupby.py b/dask/dataframe/tests/test_groupby.py
index b2410e0904e4..e19945052631 100644
--- a/dask/dataframe/tests/test_groupby.py
+++ b/dask/dataframe/tests/test_groupby.py
@@ -3563,8 +3563,7 @@ def test_groupby_numeric_only_supported(func, numeric_only):
         # Make sure dask and pandas raise the same error message
         # We raise the error on _meta_nonempty, actual element may differ
         ctx = pytest.raises(
-            TypeError,
-            match="Cannot convert|could not convert|does not support|agg function failed",
+            TypeError, match="Cannot convert|could not convert|does not support"
         )
         successful_compute = False