diff --git a/Lib/test/test_struct.py b/Lib/test/test_struct.py
index f7ad094737e..0f3ac91a392 100644
--- a/Lib/test/test_struct.py
+++ b/Lib/test/test_struct.py
@@ -188,7 +188,10 @@ def test_native_qQ():
 class IntTester:
 
     # XXX Most std integer modes fail to test for out-of-range.
-    BUGGY_RANGE_CHECK = "bBhHIL"
+    # The "i" and "l" codes appear to range-check OK on 32-bit boxes, but
+    # fail to check correctly on some 64-bit ones (Tru64 Unix + Compaq C
+    # reported by Mark Favas).
+    BUGGY_RANGE_CHECK = "bBhHiIlL"
 
     def __init__(self, formatpair, bytesize):
         assert len(formatpair) == 2