diff --git a/Tests/test_jp2k_leak.py b/Tests/test_jp2k_leak.py
index 7c91b4b85..346416fe9 100644
--- a/Tests/test_jp2k_leak.py
+++ b/Tests/test_jp2k_leak.py
@@ -4,7 +4,7 @@ import sys
 from PIL import Image
 
 # Limits for testing the leak
-mem_limit = 1536*1048576
+mem_limit = 2048*1048576
 stack_size = 8*1048576
 iterations = int(mem_limit/stack_size)*2
 codecs = dir(Image.core)