diff --git a/packages/block-library/src/cover/editor.scss b/packages/block-library/src/cover/editor.scss
index dad9ba9fd1e73e..4e2a07ffe8e4ee 100644
--- a/packages/block-library/src/cover/editor.scss
+++ b/packages/block-library/src/cover/editor.scss
@@ -10,7 +10,6 @@
 		padding: 0 !important;
 		display: flex;
 		align-items: stretch;
-		overflow: visible;
 		min-height: 240px;
 
 		.components-placeholder {
@@ -97,6 +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;
 	}
 }
 
diff --git a/packages/block-library/src/cover/style.scss b/packages/block-library/src/cover/style.scss
index 0e24a8cff32d59..dff27609032bd1 100644
--- a/packages/block-library/src/cover/style.scss
+++ b/packages/block-library/src/cover/style.scss
@@ -7,7 +7,6 @@
 	justify-content: center;
 	align-items: center;
 	padding: 1em;
-	overflow: hidden;
 	// This block has customizable padding, border-box makes that more predictable.
 	box-sizing: border-box;
 	// Keep the flex layout direction to the physical direction (LTR) in RTL languages.