diff --git a/pandas/tests/io/parser/test_multi_thread.py b/pandas/tests/io/parser/test_multi_thread.py
index da9b9bddd30cd..704ca010f6506 100644
--- a/pandas/tests/io/parser/test_multi_thread.py
+++ b/pandas/tests/io/parser/test_multi_thread.py
@@ -12,6 +12,7 @@
 import pandas as pd
 from pandas import DataFrame
 import pandas._testing as tm
+from pandas.util.version import Version
 
 xfail_pyarrow = pytest.mark.usefixtures("pyarrow_xfail")
 
@@ -23,10 +24,16 @@
 ]
 
 
-@xfail_pyarrow  # ValueError: Found non-unique column index
-def test_multi_thread_string_io_read_csv(all_parsers):
+@pytest.mark.filterwarnings("ignore:Passing a BlockManager:DeprecationWarning")
+def test_multi_thread_string_io_read_csv(all_parsers, request):
     # see gh-11786
     parser = all_parsers
+    if parser.engine == "pyarrow":
+        pa = pytest.importorskip("pyarrow")
+        if Version(pa.__version__) < Version("16.0"):
+            request.applymarker(
+                pytest.mark.xfail(reason="# ValueError: Found non-unique column index")
+            )
     max_row_range = 100
     num_files = 10
 
diff --git a/pandas/tests/io/test_sql.py b/pandas/tests/io/test_sql.py
index ab851b02c876a..7068247bbfa8b 100644
--- a/pandas/tests/io/test_sql.py
+++ b/pandas/tests/io/test_sql.py
@@ -2322,7 +2322,8 @@ def test_api_read_sql_duplicate_columns(conn, request):
     if "adbc" in conn:
         pa = pytest.importorskip("pyarrow")
         if not (
-            Version(pa.__version__) >= Version("16.0") and conn == "sqlite_adbc_conn"
+            Version(pa.__version__) >= Version("16.0")
+            and conn in ["sqlite_adbc_conn", "postgresql_adbc_conn"]
         ):
             request.node.add_marker(
                 pytest.mark.xfail(