diff --git a/packages/components/src/tooltip/index.tsx b/packages/components/src/tooltip/index.tsx
index 7ce9311fc942ea..1b61062180fbc5 100644
--- a/packages/components/src/tooltip/index.tsx
+++ b/packages/components/src/tooltip/index.tsx
@@ -109,7 +109,10 @@ function UnforwardedTooltip(
 	// the tooltip anchor anymore since 0.4.0, so we need to add it manually.
 	// See: https://github.com/WordPress/gutenberg/pull/64066
 	function addDescribedById( element: React.ReactElement ) {
-		return describedById && mounted
+		return describedById &&
+			mounted &&
+			element.props[ 'aria-describedby' ] === undefined &&
+			element.props[ 'aria-label' ] !== text
 			? cloneElement( element, { 'aria-describedby': describedById } )
 			: element;
 	}