diff --git a/tests/library/browsertype-connect.spec.ts b/tests/library/browsertype-connect.spec.ts
index ed0234224e..cd77a210d5 100644
--- a/tests/library/browsertype-connect.spec.ts
+++ b/tests/library/browsertype-connect.spec.ts
@@ -170,7 +170,7 @@ for (const kind of ['launchServer', 'run-server'] as const) {
     });
 
     test('should ignore page.pause when headed', async ({ connect, startRemoteServer, browserType, channel }) => {
-      test.skip(channel === 'chromium-headless-shell', 'This test is only relevant in headed mode');
+      test.skip(channel === 'chromium-headless-shell', 'Headless Shell does not support headed mode');
       const headless = (browserType as any)._defaultLaunchOptions.headless;
       (browserType as any)._defaultLaunchOptions.headless = false;
       const remoteServer = await startRemoteServer(kind);
diff --git a/tests/library/chromium/oopif.spec.ts b/tests/library/chromium/oopif.spec.ts
index 158af61a24..54cd3e1a46 100644
--- a/tests/library/chromium/oopif.spec.ts
+++ b/tests/library/chromium/oopif.spec.ts
@@ -232,10 +232,11 @@ it('should click a button when it overlays oopif', async function({ page, browse
   expect(await page.evaluate(() => (window as any)['BUTTON_CLICKED'])).toBe(true);
 });
 
-it('should report google.com frame with headed', async ({ browserType, server }) => {
+it('should report google.com frame with headed', async ({ browserType, server, channel }) => {
+  it.skip(channel === 'chromium-headless-shell', 'Headless Shell does not support headed mode');
   // @see https://github.com/GoogleChrome/puppeteer/issues/2548
   // https://google.com is isolated by default in Chromium embedder.
-  const browser = await browserType.launch();
+  const browser = await browserType.launch({ headless: false });
   const page = await browser.newPage();
   await page.goto(server.EMPTY_PAGE);
   await page.route('**/*', route => {