diff --git a/tests/page/page-set-input-files.spec.ts b/tests/page/page-set-input-files.spec.ts
index 93d223a88c..19869e9139 100644
--- a/tests/page/page-set-input-files.spec.ts
+++ b/tests/page/page-set-input-files.spec.ts
@@ -37,9 +37,10 @@ it('should upload the file', async ({ page, server, asset }) => {
   }, input)).toBe('contents of the file');
 });
 
-it('should upload large file', async ({ page, server, browserName, isMac, isAndroid, mode }, testInfo) => {
+it('should upload large file', async ({ page, server, browserName, isMac, isAndroid, isWebView2, mode }, testInfo) => {
   it.skip(browserName === 'webkit' && isMac && parseInt(os.release(), 10) < 20, 'WebKit for macOS 10.15 is frozen and does not have corresponding protocol features.');
   it.skip(isAndroid);
+  it.skip(isWebView2);
   it.skip(mode.startsWith('service'));
   it.slow();
 
@@ -87,9 +88,10 @@ it('should upload large file', async ({ page, server, browserName, isMac, isAndr
   await Promise.all([uploadFile, file1.filepath].map(fs.promises.unlink));
 });
 
-it('should upload multiple large files', async ({ page, server, browserName, isMac, isAndroid, mode }, testInfo) => {
+it('should upload multiple large files', async ({ page, server, browserName, isMac, isAndroid, isWebView2, mode }, testInfo) => {
   it.skip(browserName === 'webkit' && isMac && parseInt(os.release(), 10) < 20, 'WebKit for macOS 10.15 is frozen and does not have corresponding protocol features.');
   it.skip(isAndroid);
+  it.skip(isWebView2);
   it.skip(mode.startsWith('service'));
   it.slow();
 
@@ -127,9 +129,10 @@ it('should upload multiple large files', async ({ page, server, browserName, isM
   await Promise.all(uploadFiles.map(path => fs.promises.unlink(path)));
 });
 
-it('should upload large file with relative path', async ({ page, server, browserName, isMac, isAndroid, mode }, testInfo) => {
+it('should upload large file with relative path', async ({ page, server, browserName, isMac, isAndroid, isWebView2, mode }, testInfo) => {
   it.skip(browserName === 'webkit' && isMac && parseInt(os.release(), 10) < 20, 'WebKit for macOS 10.15 is frozen and does not have corresponding protocol features.');
   it.skip(isAndroid);
+  it.skip(isWebView2);
   it.skip(mode.startsWith('service'));
   it.slow();
 
diff --git a/tests/page/selectors-css.spec.ts b/tests/page/selectors-css.spec.ts
index 5ce11f11ba..172493dbea 100644
--- a/tests/page/selectors-css.spec.ts
+++ b/tests/page/selectors-css.spec.ts
@@ -274,8 +274,9 @@ it('should work with :nth-child', async ({ page, server }) => {
   expect(await page.$$eval(`css=span:nth-child(23n+2)`, els => els.length)).toBe(1);
 });
 
-it('should work with :nth-child(of) notation with nested functions', async ({ page, browserName }) => {
+it('should work with :nth-child(of) notation with nested functions', async ({ page, browserName, browserMajorVersion }) => {
   it.fixme(browserName === 'firefox', 'Should enable once Firefox supports this syntax');
+  it.skip(browserName === 'chromium' && browserMajorVersion < 111, 'https://caniuse.com/css-nth-child-of');
 
   await page.setContent(`
     <div>