diff --git a/Tests/32bit_overflow_check.py b/Tests/32bit_overflow_check.py
new file mode 100644
index 000000000..dfe1371f1
--- /dev/null
+++ b/Tests/32bit_overflow_check.py
@@ -0,0 +1,6 @@
+from PIL import Image
+import sys
+
+
+if sys.maxsize < 2**32:
+    Image.core.set_blocks_max(2**29)