diff --git a/packages/playwright-core/src/server/socksClientCertificatesInterceptor.ts b/packages/playwright-core/src/server/socksClientCertificatesInterceptor.ts
index b1f7046aa2..2dd900bf89 100644
--- a/packages/playwright-core/src/server/socksClientCertificatesInterceptor.ts
+++ b/packages/playwright-core/src/server/socksClientCertificatesInterceptor.ts
@@ -169,7 +169,10 @@ class SocksProxyConnection {
               this.target.removeListener('close', this._targetCloseEventListener);
               // @ts-expect-error
               const session: http2.ServerHttp2Session = http2.performServerHandshake(internalTLS);
-              session.on('error', () => this._targetCloseEventListener());
+              session.on('error', () => {
+                this.target.destroy();
+                this._targetCloseEventListener();
+              });
               session.once('stream', (stream: http2.ServerHttp2Stream) => {
                 stream.respond({
                   'content-type': 'text/html',
diff --git a/tests/library/client-certificates.spec.ts b/tests/library/client-certificates.spec.ts
index 0381ad8f5c..807af5154c 100644
--- a/tests/library/client-certificates.spec.ts
+++ b/tests/library/client-certificates.spec.ts
@@ -698,7 +698,7 @@ test.describe('browser', () => {
     const page = await context.newPage();
 
     // This was triggering an unhandled error before.
-    await page.goto(serverUrl).catch(e => e);
+    await page.goto(serverUrl).catch(() => {});
 
     await context.close();
     await new Promise<void>(resolve => server.close(() => resolve()));