diff --git a/tests/e2e/tests/checkout/checkout-block-shipping.block_theme.side_effects.spec.ts b/tests/e2e/tests/checkout/checkout-block-shipping.block_theme.side_effects.spec.ts
index b855a0ccc91..38570ab27e2 100644
--- a/tests/e2e/tests/checkout/checkout-block-shipping.block_theme.side_effects.spec.ts
+++ b/tests/e2e/tests/checkout/checkout-block-shipping.block_theme.side_effects.spec.ts
@@ -94,6 +94,5 @@ test.describe( 'Shopper → Checkout block → Shipping', () => {
 			overrideBillingDetails
 		);
 		await pageObject.verifyAddressDetails( 'shipping' );
-		await expect( page.getByText( FLAT_RATE_SHIPPING_NAME ) ).toBeVisible();
 	} );
 } );
diff --git a/tests/e2e/tests/checkout/checkout.page.ts b/tests/e2e/tests/checkout/checkout.page.ts
index f0515402aa3..84f92ce6138 100644
--- a/tests/e2e/tests/checkout/checkout.page.ts
+++ b/tests/e2e/tests/checkout/checkout.page.ts
@@ -91,7 +91,7 @@ export class CheckoutPage {
 			...this.testData,
 			...overrideAddressDetails,
 		};
-		const selector = `.woocommerce-column--${ shippingOrBilling }-address`;
+		const selector = `.wc-block-order-confirmation-${ shippingOrBilling }-address`;
 		const addressContainer = this.page.locator( selector );
 		await expect(
 			addressContainer.getByText( customerAddressDetails.firstname )