diff --git a/gunicorn/workers/base_async.py b/gunicorn/workers/base_async.py
index 0aaaa4dd..6e7ae3f8 100644
--- a/gunicorn/workers/base_async.py
+++ b/gunicorn/workers/base_async.py
@@ -99,9 +99,8 @@ class AsyncWorker(base.Worker):
                 if self.alive:
                     self.log.info("Autorestarting worker after current request.")
                     self.alive = False
-                resp.force_close()
 
-            if not self.cfg.keepalive:
+            if not self.alive or not self.cfg.keepalive:
                 resp.force_close()
 
             respiter = self.wsgi(environ, resp.start_response)
diff --git a/gunicorn/workers/gthread.py b/gunicorn/workers/gthread.py
index c7f64b61..5cd3e8a5 100644
--- a/gunicorn/workers/gthread.py
+++ b/gunicorn/workers/gthread.py
@@ -313,7 +313,7 @@ class ThreadWorker(base.Worker):
                     self.alive = False
                 resp.force_close()
 
-            if not self.cfg.keepalive:
+            if not self.alive or not self.cfg.keepalive:
                 resp.force_close()
             elif len(self._keep) >= self.max_keepalived:
                 resp.force_close()