diff --git a/src/net/tools/naive/naive_proxy.cc b/src/net/tools/naive/naive_proxy.cc
index a8a26e084b..2f96bde314 100644
--- a/src/net/tools/naive/naive_proxy.cc
+++ b/src/net/tools/naive/naive_proxy.cc
@@ -145,7 +145,14 @@ int NaiveProxy::DoAcceptComplete(int result) {
   if (result != OK) {
     next_state_ = State::kAccept;
     LOG(ERROR) << "Accept error: " << ErrorToShortString(result);
-    // This accept error is ignored to start the next accept.
+    if (result == ERR_INSUFFICIENT_RESOURCES) {
+      base::SingleThreadTaskRunner::GetCurrentDefault()->PostDelayedTask(
+          FROM_HERE,
+          base::BindOnce(&NaiveProxy::OnIOComplete,
+                         weak_ptr_factory_.GetWeakPtr(), OK),
+          base::Seconds(1));
+      return ERR_IO_PENDING;
+    }
     return OK;
   }