diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index a85a2fca8a9ff5..fc4f14882b9d7c 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -1945,14 +1945,9 @@ def test_str_find_negative_start():
 
 def test_str_find_no_end():
     ser = pd.Series(["abc", None], dtype=ArrowDtype(pa.string()))
-    if pa_version_under13p0:
-        # https://github.com/apache/arrow/issues/36311
-        with pytest.raises(pa.lib.ArrowInvalid, match="Negative buffer resize"):
-            ser.str.find("ab", start=1)
-    else:
-        result = ser.str.find("ab", start=1)
-        expected = pd.Series([-1, None], dtype="int64[pyarrow]")
-        tm.assert_series_equal(result, expected)
+    result = ser.str.find("ab", start=1)
+    expected = pd.Series([-1, None], dtype="int64[pyarrow]")
+    tm.assert_series_equal(result, expected)
 
 
 def test_str_find_negative_start_negative_end():
@@ -1966,14 +1961,9 @@ def test_str_find_negative_start_negative_end():
 def test_str_find_large_start():
     # GH 56791
     ser = pd.Series(["abcdefg", None], dtype=ArrowDtype(pa.string()))
-    if pa_version_under13p0:
-        # https://github.com/apache/arrow/issues/36311
-        with pytest.raises(pa.lib.ArrowInvalid, match="Negative buffer resize"):
-            ser.str.find(sub="d", start=16)
-    else:
-        result = ser.str.find(sub="d", start=16)
-        expected = pd.Series([-1, None], dtype=ArrowDtype(pa.int64()))
-        tm.assert_series_equal(result, expected)
+    result = ser.str.find(sub="d", start=16)
+    expected = pd.Series([-1, None], dtype=ArrowDtype(pa.int64()))
+    tm.assert_series_equal(result, expected)
 
 
 @pytest.mark.skipif(