diff --git a/packages/e2e-test-utils/src/click-on-more-menu-item.js b/packages/e2e-test-utils/src/click-on-more-menu-item.js
index 04d3709ac0e19..c52296040df51 100644
--- a/packages/e2e-test-utils/src/click-on-more-menu-item.js
+++ b/packages/e2e-test-utils/src/click-on-more-menu-item.js
@@ -16,7 +16,7 @@ import { toggleMoreMenu } from './toggle-more-menu';
 export async function clickOnMoreMenuItem( buttonLabel ) {
 	await toggleMoreMenu();
 	const moreMenuContainerSelector =
-		'//*[contains(concat(" ", @class, " "), " edit-post-more-menu__content ")]';
+		'//*[contains(concat(" ", @class, " "), " interface-more-menu-dropdown__content ")]';
 	const elementToClick = first(
 		await page.$x(
 			`${ moreMenuContainerSelector }//span[contains(concat(" ", @class, " "), " components-menu-item__item ")][contains(text(), "${ buttonLabel }")]`
diff --git a/packages/e2e-tests/experimental-features.js b/packages/e2e-tests/experimental-features.js
index bcc6c3da8c843..e920ee7114db8 100644
--- a/packages/e2e-tests/experimental-features.js
+++ b/packages/e2e-tests/experimental-features.js
@@ -118,19 +118,6 @@ export const siteEditor = {
 		);
 	},
 
-	async clickOnMoreMenuItem( buttonLabel ) {
-		await this.toggleMoreMenu();
-		const moreMenuContainerSelector =
-			'//*[contains(concat(" ", @class, " "), " edit-site-more-menu__content ")]';
-		const elementToClick = (
-			await page.$x(
-				`${ moreMenuContainerSelector }//span[contains(concat(" ", @class, " "), " components-menu-item__item ")][contains(text(), "${ buttonLabel }")]`
-			)
-		 )[ 0 ];
-
-		await elementToClick.click();
-	},
-
 	async getEditedPostContent() {
 		return page.evaluate( async () => {
 			const postId = window.wp.data
diff --git a/packages/e2e-tests/specs/experiments/site-editor-export.test.js b/packages/e2e-tests/specs/experiments/site-editor-export.test.js
index 961a19525c6a2..e97bc3b99e464 100644
--- a/packages/e2e-tests/specs/experiments/site-editor-export.test.js
+++ b/packages/e2e-tests/specs/experiments/site-editor-export.test.js
@@ -8,7 +8,11 @@ import os from 'os';
 /**
  * WordPress dependencies
  */
-import { trashAllPosts, activateTheme } from '@wordpress/e2e-test-utils';
+import {
+	clickOnMoreMenuItem,
+	trashAllPosts,
+	activateTheme,
+} from '@wordpress/e2e-test-utils';
 
 /**
  * Internal dependencies
@@ -52,7 +56,7 @@ describe( 'Site Editor Templates Export', () => {
 			downloadPath: directory,
 		} );
 
-		await siteEditor.clickOnMoreMenuItem( 'Export' );
+		await clickOnMoreMenuItem( 'Export' );
 		const filePath = path.join( directory, 'edit-site-export.zip' );
 		await waitForFileExists( filePath );
 		expect( fs.existsSync( filePath ) ).toBe( true );