diff --git a/python/pyarrow/tests/parquet/test_basic.py b/python/pyarrow/tests/parquet/test_basic.py
index 67515c5e247..f615e39c21c 100644
--- a/python/pyarrow/tests/parquet/test_basic.py
+++ b/python/pyarrow/tests/parquet/test_basic.py
@@ -230,11 +230,11 @@ def test_empty_table_no_columns():
 
 def test_write_nested_zero_length_array_chunk_failure():
     # Bug report in ARROW-3792
-    cols = OrderedDict(
+    cols = dict(
         int32=pa.int32(),
         list_string=pa.list_(pa.string())
     )
-    data = [[], [OrderedDict(int32=1, list_string=('G',)), ]]
+    data = [[], [dict(int32=1, list_string=('G',)), ]]
 
     # This produces a table with a column like
     # <Column name='list_string' type=ListType(list<item: string>)>
diff --git a/python/pyarrow/tests/test_compute.py b/python/pyarrow/tests/test_compute.py
index 97f694df1fc..dc35fc6619c 100644
--- a/python/pyarrow/tests/test_compute.py
+++ b/python/pyarrow/tests/test_compute.py
@@ -2561,12 +2561,13 @@ def test_assume_timezone():
                              f"timezone '{timezone}'"):
         pc.assume_timezone(ambiguous_array, options=options_ambiguous_raise)
 
-    expected = ambiguous.tz_localize(timezone, ambiguous=[True, True, True])
+    expected = ambiguous.tz_localize(timezone, ambiguous=np.array([True, True, True]))
     result = pc.assume_timezone(
         ambiguous_array, options=options_ambiguous_earliest)
     result.equals(pa.array(expected))
 
-    expected = ambiguous.tz_localize(timezone, ambiguous=[False, False, False])
+    expected = ambiguous.tz_localize(
+        timezone, ambiguous=np.array([False, False, False]))
     result = pc.assume_timezone(
         ambiguous_array, options=options_ambiguous_latest)
     result.equals(pa.array(expected))
diff --git a/python/pyarrow/tests/test_pandas.py b/python/pyarrow/tests/test_pandas.py
index f0bc4a31f34..4af077ea0ef 100644
--- a/python/pyarrow/tests/test_pandas.py
+++ b/python/pyarrow/tests/test_pandas.py
@@ -4963,7 +4963,7 @@ def test_does_not_mutate_timedelta_dtype():
 
     assert np.dtype(np.timedelta64) == expected
 
-    df = pd.DataFrame({"a": [np.timedelta64()]})
+    df = pd.DataFrame({"a": [np.timedelta64("s")]})
     t = pa.Table.from_pandas(df)
     t.to_pandas()