diff --git a/packages/block-library/src/cover/editor.scss b/packages/block-library/src/cover/editor.scss
index 33f328828fc263..4e2a07ffe8e4ee 100644
--- a/packages/block-library/src/cover/editor.scss
+++ b/packages/block-library/src/cover/editor.scss
@@ -96,6 +96,7 @@
 		// The inner drag handle will still have `pointer-events: all` allowing
 		// it to continue to be interacted with.
 		pointer-events: none;
+		overflow: visible;
 	}
 }