diff --git a/channels/utils.py b/channels/utils.py
index 72cd9ca3..dcd8e15b 100644
--- a/channels/utils.py
+++ b/channels/utils.py
@@ -33,12 +33,25 @@ async def await_many_dispatch(consumer_callables, dispatch):
     """
     Given a set of consumer callables, awaits on them all and passes results
     from them to the dispatch awaitable as they come in.
+    If a dispatch awaitable raises an exception,
+    this coroutine will fail with that exception.
     """
     # Call all callables, and ensure all return types are Futures
     tasks = [
         asyncio.ensure_future(consumer_callable())
         for consumer_callable in consumer_callables
     ]
+
+    dispatch_tasks = []
+    fut = asyncio.Future()  # For child task to report an exception
+    tasks.append(fut)
+
+    def on_dispatch_task_complete(task):
+        dispatch_tasks.remove(task)
+        exc = task.exception()
+        if exc and not isinstance(exc, asyncio.CancelledError) and not fut.done():
+            fut.set_exception(exc)
+
     try:
         while True:
             # Wait for any of them to complete
@@ -46,9 +59,16 @@ async def await_many_dispatch(consumer_callables, dispatch):
             # Find the completed one(s), yield results, and replace them
             for i, task in enumerate(tasks):
                 if task.done():
-                    result = task.result()
-                    await dispatch(result)
-                    tasks[i] = asyncio.ensure_future(consumer_callables[i]())
+                    if task == fut:
+                        exc = fut.exception()  # Child task has reported an exception
+                        if exc:
+                            raise exc
+                    else:
+                        result = task.result()
+                        task = asyncio.create_task(dispatch(result))
+                        dispatch_tasks.append(task)
+                        task.add_done_callback(on_dispatch_task_complete)
+                        tasks[i] = asyncio.ensure_future(consumer_callables[i]())
     finally:
         # Make sure we clean up tasks on exit
         for task in tasks:
@@ -57,3 +77,15 @@ async def await_many_dispatch(consumer_callables, dispatch):
                 await task
             except asyncio.CancelledError:
                 pass
+        if dispatch_tasks:
+            """
+            This may be needed if the consumer task running this coroutine
+            is cancelled and one of the subtasks raises an exception after cancellation.
+            """
+            done, pending = await asyncio.wait(dispatch_tasks)
+            for task in done:
+                exc = task.exception()
+                if exc and not isinstance(exc, asyncio.CancelledError):
+                    raise exc
+        if not fut.done():
+            fut.set_result(None)