diff --git a/Tests/32bit_segfault_check.py b/Tests/32bit_segfault_check.py
index 958bc6b3c..822d524fd 100644
--- a/Tests/32bit_segfault_check.py
+++ b/Tests/32bit_segfault_check.py
@@ -1,7 +1,10 @@
 #!/usr/bin/env python
 
 from PIL import Image
+import sys
 
-im = Image.new('L', (999999, 999999), 0)
+
+if sys.maxsize < 2**32:
+    im = Image.new('L', (999999, 999999), 0)