diff --git a/celery/backends/asynchronous.py b/celery/backends/asynchronous.py
index 32475d5eaa..cedae5013a 100644
--- a/celery/backends/asynchronous.py
+++ b/celery/backends/asynchronous.py
@@ -66,18 +66,30 @@ def wait_for(self, p, wait, timeout=None):
 class greenletDrainer(Drainer):
     spawn = None
     _g = None
+    _drain_complete_event = None    # event, sended (and recreated) after every drain_events iteration
+
+    def _create_drain_complete_event(self):
+        """create new self._drain_complete_event object"""
+        pass
+
+    def _send_drain_complete_event(self):
+        """raise self._drain_complete_event for wakeup .wait_for"""
+        pass
 
     def __init__(self, *args, **kwargs):
         super().__init__(*args, **kwargs)
         self._started = threading.Event()
         self._stopped = threading.Event()
         self._shutdown = threading.Event()
+        self._create_drain_complete_event()
 
     def run(self):
         self._started.set()
         while not self._stopped.is_set():
             try:
                 self.result_consumer.drain_events(timeout=1)
+                self._send_drain_complete_event()
+                self._create_drain_complete_event()
             except socket.timeout:
                 pass
         self._shutdown.set()
@@ -89,8 +101,14 @@ def start(self):
 
     def stop(self):
         self._stopped.set()
+        self._send_drain_complete_event()
         self._shutdown.wait(THREAD_TIMEOUT_MAX)
 
+    def wait_for(self, p, wait, timeout=None):
+        self.start()
+        if not p.ready:
+            self._drain_complete_event.wait(timeout=timeout)
+
 
 @register_drainer('eventlet')
 class eventletDrainer(greenletDrainer):
@@ -101,10 +119,12 @@ def spawn(self, func):
         sleep(0)
         return g
 
-    def wait_for(self, p, wait, timeout=None):
-        self.start()
-        if not p.ready:
-            self._g._exit_event.wait(timeout=timeout)
+    def _create_drain_complete_event(self):
+        from eventlet.event import Event
+        self._drain_complete_event = Event()
+
+    def _send_drain_complete_event(self):
+        self._drain_complete_event.send()
 
 
 @register_drainer('gevent')
@@ -116,11 +136,13 @@ def spawn(self, func):
         gevent.sleep(0)
         return g
 
-    def wait_for(self, p, wait, timeout=None):
-        import gevent
-        self.start()
-        if not p.ready:
-            gevent.wait([self._g], timeout=timeout)
+    def _create_drain_complete_event(self):
+        from gevent.event import Event
+        self._drain_complete_event = Event()
+
+    def _send_drain_complete_event(self):
+        self._drain_complete_event.set()
+        self._create_drain_complete_event()
 
 
 class AsyncBackendMixin:
diff --git a/t/unit/backends/test_asynchronous.py b/t/unit/backends/test_asynchronous.py
index c0fe894900..6593cd53e5 100644
--- a/t/unit/backends/test_asynchronous.py
+++ b/t/unit/backends/test_asynchronous.py
@@ -158,7 +158,10 @@ def sleep(self):
 
     def result_consumer_drain_events(self, timeout=None):
         import eventlet
-        eventlet.sleep(0)
+        # `drain_events` of asynchronous backends with pubsub have to sleep
+        # while waiting events for not more then `interval` timeout,
+        # but events may coming sooner
+        eventlet.sleep(timeout/10)
 
     def schedule_thread(self, thread):
         import eventlet
@@ -204,7 +207,10 @@ def sleep(self):
 
     def result_consumer_drain_events(self, timeout=None):
         import gevent
-        gevent.sleep(0)
+        # `drain_events` of asynchronous backends with pubsub have to sleep
+        # while waiting events for not more then `interval` timeout,
+        # but events may coming sooner
+        gevent.sleep(timeout/10)
 
     def schedule_thread(self, thread):
         import gevent