diff --git a/Python/random.c b/Python/random.c
index 07dacfe..b961020 100644
--- a/Python/random.c
+++ b/Python/random.c
@@ -143,7 +143,7 @@
            to 1024 bytes */
         n = Py_MIN(size, 1024);
 #else
-        n = size;
+        n = Py_MIN(size, INT_MAX);
 #endif
 
         errno = 0;