diff --git a/packages/proxy/lib/http/response-middleware.ts b/packages/proxy/lib/http/response-middleware.ts
index 1722c1d8eb56..e5eff70524ff 100644
--- a/packages/proxy/lib/http/response-middleware.ts
+++ b/packages/proxy/lib/http/response-middleware.ts
@@ -116,7 +116,7 @@ function setCookie (res: CypressOutgoingResponse, k: string, v: string, domain:
   if (!v) {
     v = ''
 
-    opts.expires = new Date(0)
+    opts.expires = new Date('2070-01-01')
   }
 
   return res.cookie(k, v, opts)