diff --git a/tests/library/screenshot.spec.ts b/tests/library/screenshot.spec.ts
index e8bdac3313..f982430bd9 100644
--- a/tests/library/screenshot.spec.ts
+++ b/tests/library/screenshot.spec.ts
@@ -22,7 +22,8 @@ import { verifyViewport } from '../config/utils';
 browserTest.describe('page screenshot', () => {
   browserTest.skip(({ browserName, headless }) => browserName === 'firefox' && !headless, 'Firefox headed produces a different image.');
 
-  browserTest('should run in parallel in multiple pages', async ({ server, contextFactory }) => {
+  browserTest('should run in parallel in multiple pages', async ({ server, contextFactory, browserName }) => {
+    browserTest.fixme(browserName === 'chromium' && !process.env.PLAYWRIGHT_CHROMIUM_USE_HEADLESS_OLD, 'https://github.com/microsoft/playwright/issues/33330');
     const context = await contextFactory();
     const N = 5;
     const pages = await Promise.all(Array(N).fill(0).map(async () => {