diff --git a/tests/library/emulation-focus.spec.ts b/tests/library/emulation-focus.spec.ts
index 27ad72127e..8d76b8140c 100644
--- a/tests/library/emulation-focus.spec.ts
+++ b/tests/library/emulation-focus.spec.ts
@@ -199,8 +199,9 @@ browserTest('should not fire blur events when interacting with more than one pag
   expect(await page2.evaluate(() => !!window['gotBlur'])).toBe(false);
 });
 
-browserTest('should trigger hover state concurrently', async ({ browserType, browserName }) => {
+browserTest('should trigger hover state concurrently', async ({ browserType, browserName, headless }) => {
   browserTest.info().annotations.push({ type: 'issue', description: 'https://github.com/microsoft/playwright/issues/27969' });
+  browserTest.skip(!headless, 'headed messes up with hover');
   browserTest.fixme(browserName === 'firefox');
 
   const browser1 = await browserType.launch();
diff --git a/tests/library/trace-viewer.spec.ts b/tests/library/trace-viewer.spec.ts
index ff9add5da9..99117c2fe9 100644
--- a/tests/library/trace-viewer.spec.ts
+++ b/tests/library/trace-viewer.spec.ts
@@ -261,7 +261,7 @@ test('should have network requests', async ({ showTraceViewer }) => {
   await expect(traceViewer.networkRequests).toContainText([/style.cssGET200text\/css/]);
   await expect(traceViewer.networkRequests).toContainText([/404GET404text\/plain/]);
   await expect(traceViewer.networkRequests).toContainText([/script.jsGET200application\/javascript/]);
-  await expect(traceViewer.networkRequests.filter({ hasText: '404' })).toHaveCSS('background-color', 'rgb(242, 222, 222)');
+  await expect(traceViewer.networkRequests.filter({ hasText: '404GET404text' })).toHaveCSS('background-color', 'rgb(242, 222, 222)');
 });
 
 test('should filter network requests by resource type', async ({ page, runAndTrace, server }) => {
diff --git a/tests/page/page-mouse.spec.ts b/tests/page/page-mouse.spec.ts
index 5d29be2bb7..ae8ce84c7b 100644
--- a/tests/page/page-mouse.spec.ts
+++ b/tests/page/page-mouse.spec.ts
@@ -190,7 +190,9 @@ it('should select the text with mouse', async ({ page, server }) => {
   })).toBe(text);
 });
 
-it('should trigger hover state', async ({ page, server }) => {
+it('should trigger hover state', async ({ page, server, headless }) => {
+  it.skip(!headless, 'headed messes up with hover');
+
   await page.goto(server.PREFIX + '/input/scrollable.html');
   await page.hover('#button-6');
   expect(await page.evaluate(() => document.querySelector('button:hover').id)).toBe('button-6');
@@ -200,14 +202,18 @@ it('should trigger hover state', async ({ page, server }) => {
   expect(await page.evaluate(() => document.querySelector('button:hover').id)).toBe('button-91');
 });
 
-it('should trigger hover state on disabled button', async ({ page, server }) => {
+it('should trigger hover state on disabled button', async ({ page, server, headless }) => {
+  it.skip(!headless, 'headed messes up with hover');
+
   await page.goto(server.PREFIX + '/input/scrollable.html');
   await page.$eval('#button-6', (button: HTMLButtonElement) => button.disabled = true);
   await page.hover('#button-6', { timeout: 5000 });
   expect(await page.evaluate(() => document.querySelector('button:hover').id)).toBe('button-6');
 });
 
-it('should trigger hover state with removed window.Node', async ({ page, server }) => {
+it('should trigger hover state with removed window.Node', async ({ page, server, headless }) => {
+  it.skip(!headless, 'headed messes up with hover');
+
   await page.goto(server.PREFIX + '/input/scrollable.html');
   await page.evaluate(() => delete window.Node);
   await page.hover('#button-6');
diff --git a/tests/page/page-request-fulfill.spec.ts b/tests/page/page-request-fulfill.spec.ts
index ebde0dbc56..8170cb73d5 100644
--- a/tests/page/page-request-fulfill.spec.ts
+++ b/tests/page/page-request-fulfill.spec.ts
@@ -312,7 +312,7 @@ it('should fetch original request and fulfill', async ({ page, server, isElectro
 it('should fulfill with multiple set-cookie', async ({ page, server, isElectron, electronMajorVersion }) => {
   it.skip(isElectron && electronMajorVersion < 14, 'Electron 14+ is required');
   const cookies = ['a=b', 'c=d'];
-  await page.route('**/empty.html', async route => {
+  await page.route('**/multiple-set-cookie.html', async route => {
     void route.fulfill({
       status: 200,
       headers: {
@@ -323,7 +323,7 @@ it('should fulfill with multiple set-cookie', async ({ page, server, isElectron,
       body: ''
     });
   });
-  const response = await page.goto(server.EMPTY_PAGE);
+  const response = await page.goto(server.PREFIX + '/multiple-set-cookie.html');
   expect((await page.evaluate(() => document.cookie)).split(';').map(s => s.trim()).sort()).toEqual(cookies);
   expect(await response.headerValue('X-Header-1')).toBe('v1');
   expect(await response.headerValue('X-Header-2')).toBe('v2');
diff --git a/tests/page/workers.spec.ts b/tests/page/workers.spec.ts
index ead741602b..1d53a73923 100644
--- a/tests/page/workers.spec.ts
+++ b/tests/page/workers.spec.ts
@@ -250,8 +250,8 @@ it('should support offline', async ({ page, server, browserName }) => {
     page.goto(server.PREFIX + '/worker/worker.html'),
   ]);
   await page.context().setOffline(true);
-  expect(await worker.evaluate(() => navigator.onLine)).toBe(false);
+  await expect.poll(() =>  worker.evaluate(() => navigator.onLine)).toBe(false);
   expect(await worker.evaluate(() => fetch('/one-style.css').catch(e => 'error'))).toBe('error');
   await page.context().setOffline(false);
-  expect(await worker.evaluate(() => navigator.onLine)).toBe(true);
+  await expect.poll(() =>  worker.evaluate(() => navigator.onLine)).toBe(true);
 });