diff --git a/gunicorn/workers/gthread.py b/gunicorn/workers/gthread.py
index d1fa1fbf..f36d92c4 100644
--- a/gunicorn/workers/gthread.py
+++ b/gunicorn/workers/gthread.py
@@ -102,6 +102,9 @@ class ThreadWorker(base.Worker):
         super(ThreadWorker, self).init_process()
 
     def accept(self, listener):
+        if not self.alive:
+            return
+
         try:
             client, addr = listener.accept()
             conn = TConn(self.cfg, listener, client, addr)
@@ -174,6 +177,7 @@ class ThreadWorker(base.Worker):
             if len(self.futures) >= self.worker_connections:
                 res = futures.wait(self.futures, timeout=timeout)
                 if not res:
+                    self.alive = False
                     self.log.info("max requests achieved")
                     break