diff --git a/test/defaultbrowsercontext.spec.js b/test/defaultbrowsercontext.spec.js
index ae9559c618..a31779838b 100644
--- a/test/defaultbrowsercontext.spec.js
+++ b/test/defaultbrowsercontext.spec.js
@@ -15,7 +15,7 @@
  * limitations under the License.
  */
 
-module.exports.describe = function ({ testRunner, expect, defaultBrowserOptions, playwright }) {
+module.exports.describe = function ({ testRunner, expect, defaultBrowserOptions, playwright, WEBKIT }) {
   const {describe, xdescribe, fdescribe} = testRunner;
   const {it, fit, xit, dit} = testRunner;
   const {beforeAll, beforeEach, afterAll, afterEach} = testRunner;
@@ -67,7 +67,7 @@ module.exports.describe = function ({ testRunner, expect, defaultBrowserOptions,
         sameSite: 'None',
       }]);
     });
-    it('context.clearCookies() should work', async({page, server}) => {
+    it.skip(WEBKIT)('context.clearCookies() should work', async({page, server}) => {
       await page.goto(server.EMPTY_PAGE);
       await page.browserContext().setCookies([{
         url: server.EMPTY_PAGE,
diff --git a/test/mouse.spec.js b/test/mouse.spec.js
index adc0542613..68eb813beb 100644
--- a/test/mouse.spec.js
+++ b/test/mouse.spec.js
@@ -56,7 +56,7 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT,
       expect(event.isTrusted).toBe(true);
       expect(event.button).toBe(0);
     });
-    it('should resize the textarea', async({page, server}) => {
+    it.skip(WEBKIT)('should resize the textarea', async({page, server}) => {
       await page.goto(server.PREFIX + '/input/textarea.html');
       const {x, y, width, height} = await page.evaluate(dimensions);
       const mouse = page.mouse;
@@ -71,7 +71,7 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT,
       expect(newDimensions.width).toBe(Math.round(width + 104));
       expect(newDimensions.height).toBe(Math.round(height + 104));
     });
-    it('should select the text with mouse', async({page, server}) => {
+    it.skip(WEBKIT)('should select the text with mouse', async({page, server}) => {
       await page.goto(server.PREFIX + '/input/textarea.html');
       await page.focus('textarea');
       const text = 'This is the text that we are going to try to select. Let\'s see how it goes.';
diff --git a/test/network.spec.js b/test/network.spec.js
index 5151b58418..b14c558d8d 100644
--- a/test/network.spec.js
+++ b/test/network.spec.js
@@ -344,7 +344,7 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT})
     });
   });
 
-  describe.skip(FFOX)('WebSocket', function() {
+  describe.skip(FFOX || WEBKIT)('WebSocket', function() {
     it('should work', async({page, server}) => {
       const value = await page.evaluate((port) => {
         let cb;
diff --git a/test/page.spec.js b/test/page.spec.js
index a8cf9e0786..15592c77a0 100644
--- a/test/page.spec.js
+++ b/test/page.spec.js
@@ -172,7 +172,7 @@ module.exports.describe = function({testRunner, expect, headless, playwright, FF
       expect(await page.evaluate(() => !!window.opener)).toBe(false);
       expect(await popup.evaluate(() => !!window.opener)).toBe(false);
     });
-    it.skip(FFOX)('should not treat navigations as new popups', async({page, server}) => {
+    it.skip(FFOX || WEBKIT)('should not treat navigations as new popups', async({page, server}) => {
       await page.goto(server.EMPTY_PAGE);
       await page.setContent('<a target=_blank rel=noopener href="/one-style.html">yo</a>');
       const [popup] = await Promise.all([
diff --git a/test/workers.spec.js b/test/workers.spec.js
index 2126b85a80..551f0b9899 100644
--- a/test/workers.spec.js
+++ b/test/workers.spec.js
@@ -113,7 +113,7 @@ module.exports.describe = function({testRunner, expect, FFOX, CHROMIUM, WEBKIT})
       expect(response.request()).toBe(request);
       expect(response.ok()).toBe(true);
     });
-    it.skip(FFOX)('should report web socket activity', async function({page, server}) {
+    it.skip(FFOX || WEBKIT)('should report web socket activity', async function({page, server}) {
       const [worker] = await Promise.all([
         page.waitForEvent('workercreated'),
         page.goto(server.PREFIX + '/worker/worker.html'),