diff --git a/graphene_django/fields.py b/graphene_django/fields.py
index 0fe123d..80107ea 100644
--- a/graphene_django/fields.py
+++ b/graphene_django/fields.py
@@ -9,7 +9,8 @@ from graphql_relay import (
     offset_to_cursor,
 )
 
-from promise import Promise
+from asgiref.sync import sync_to_async
+from asyncio import get_running_loop
 
 from graphene import Int, NonNull
 from graphene.relay import ConnectionField
@@ -228,20 +229,43 @@ class DjangoConnectionField(ConnectionField):
 
         # eventually leads to DjangoObjectType's get_queryset (accepts queryset)
         # or a resolve_foo (does not accept queryset)
+
         iterable = resolver(root, info, **args)
+        if info.is_awaitable(iterable):
+            async def await_result():
+                queryset_or_list = await iterable
+                if queryset_or_list is None:
+                    queryset_or_list = default_manager
+
+                    if is_async(queryset_resolver):
+                    
+                        resolved = await sync_to_async(queryset_resolver)(connection, resolved, info, args)
+
+                    # TODO: create an async_resolve_connection which uses the new Django queryset async functions
+                    async_resolve_connection = sync_to_async(cls.resolve_connection)
+
+                    if is_awaitable(resolved):
+                        return async_resolve_connection(connection, args, await resolved, max_limit=max_limit)
+                    
+                    return async_resolve_connection(connection, args, resolved, max_limit=max_limit)
+            
+            return await_result()
+
         if iterable is None:
             iterable = default_manager
         # thus the iterable gets refiltered by resolve_queryset
         # but iterable might be promise
         iterable = queryset_resolver(connection, iterable, info, args)
-        on_resolve = partial(
-            cls.resolve_connection, connection, args, max_limit=max_limit
-        )
 
-        if Promise.is_thenable(iterable):
-            return Promise.resolve(iterable).then(on_resolve)
+        try: 
+            get_running_loop()
+        except RuntimeError:
+                pass
+        else:
+            return sync_to_async(cls.resolve_connection)(connection, args, iterable, max_limit=max_limit)
 
-        return on_resolve(iterable)
+
+        return cls.resolve_connection(connection, args, iterable, max_limit=max_limit)
 
     def wrap_resolve(self, parent_resolver):
         return partial(