diff --git a/gymnasium/wrappers/vector/rendering.py b/gymnasium/wrappers/vector/rendering.py
index 31c739cf4..afe674e67 100644
--- a/gymnasium/wrappers/vector/rendering.py
+++ b/gymnasium/wrappers/vector/rendering.py
@@ -201,4 +201,5 @@ def close(self):
 
             pygame.display.quit()
             pygame.quit()
+            self.window = None  # try to prevent strange Python 3.8 bug, later complaining about no self.window
         super().close()