diff --git a/testing/test_assertrewrite.py b/testing/test_assertrewrite.py
index 72bfbcc55..fb3f81770 100644
--- a/testing/test_assertrewrite.py
+++ b/testing/test_assertrewrite.py
@@ -1232,6 +1232,9 @@ class TestIssue2121:
         result.stdout.fnmatch_lines(["*E*assert (1 + 1) == 3"])
 
 
+@pytest.mark.skipif(
+    sys.maxsize <= (2 ** 31 - 1), reason="Causes OverflowError on 32bit systems"
+)
 @pytest.mark.parametrize("offset", [-1, +1])
 def test_source_mtime_long_long(testdir, offset):
     """Support modification dates after 2038 in rewritten files (#4903).