diff --git a/packages/components/src/tooltip/index.js b/packages/components/src/tooltip/index.js
index 6cfc0a39c597dc..ca19890f8cbc66 100644
--- a/packages/components/src/tooltip/index.js
+++ b/packages/components/src/tooltip/index.js
@@ -168,6 +168,7 @@ function Tooltip( { children, position, text, shortcut } ) {
 	};
 	const clearOnUnmount = () => {
 		delayedSetIsOver.cancel();
+		document.removeEventListener( 'mouseup', cancelIsMouseDown );
 	};
 
 	useEffect( () => clearOnUnmount, [] );