diff --git a/kombu/__init__.py b/kombu/__init__.py
index c435645e..d3ba15ea 100644
--- a/kombu/__init__.py
+++ b/kombu/__init__.py
@@ -4,6 +4,7 @@ import os
 import re
 import sys
 from collections import namedtuple
+from typing import Any, List, cast
 
 __version__ = '5.2.4'
 __author__ = 'Ask Solem'
@@ -19,8 +20,8 @@ version_info_t = namedtuple('version_info_t', (
 
 # bumpversion can only search for {current_version}
 # so we have to parse the version here.
-_temp = re.match(
-    r'(\d+)\.(\d+).(\d+)(.+)?', __version__).groups()
+_temp = cast(re.Match, re.match(
+    r'(\d+)\.(\d+).(\d+)(.+)?', __version__)).groups()
 VERSION = version_info = version_info_t(
     int(_temp[0]), int(_temp[1]), int(_temp[2]), _temp[3] or '', '')
 del(_temp)
@@ -61,15 +62,15 @@ all_by_module = {
 }
 
 object_origins = {}
-for module, items in all_by_module.items():
+for _module, items in all_by_module.items():
     for item in items:
-        object_origins[item] = module
+        object_origins[item] = _module
 
 
 class module(ModuleType):
     """Customized Python module."""
 
-    def __getattr__(self, name):
+    def __getattr__(self, name: str) -> Any:
         if name in object_origins:
             module = __import__(object_origins[name], None, None, [name])
             for extra_name in all_by_module[module.__name__]:
@@ -77,7 +78,7 @@ class module(ModuleType):
             return getattr(module, name)
         return ModuleType.__getattribute__(self, name)
 
-    def __dir__(self):
+    def __dir__(self) -> List[str]:
         result = list(new_module.__all__)
         result.extend(('__file__', '__path__', '__doc__', '__all__',
                        '__docformat__', '__name__', '__path__', 'VERSION',
diff --git a/kombu/asynchronous/aws/__init__.py b/kombu/asynchronous/aws/__init__.py
index d8423c23..a105cca2 100644
--- a/kombu/asynchronous/aws/__init__.py
+++ b/kombu/asynchronous/aws/__init__.py
@@ -1,4 +1,13 @@
-def connect_sqs(aws_access_key_id=None, aws_secret_access_key=None, **kwargs):
+from typing import Any, Optional
+
+from kombu.asynchronous.aws.sqs.connection import AsyncSQSConnection
+
+
+def connect_sqs(
+    aws_access_key_id: Optional[str] = None,
+    aws_secret_access_key: Optional[str] = None,
+    **kwargs: Any
+) -> AsyncSQSConnection:
     """Return async connection to Amazon SQS."""
     from .sqs.connection import AsyncSQSConnection
     return AsyncSQSConnection(
diff --git a/kombu/asynchronous/http/__init__.py b/kombu/asynchronous/http/__init__.py
index 1c45ebca..0dc4247d 100644
--- a/kombu/asynchronous/http/__init__.py
+++ b/kombu/asynchronous/http/__init__.py
@@ -1,17 +1,22 @@
-from kombu.asynchronous import get_event_loop
+from typing import TYPE_CHECKING, Optional
 
-from .base import Headers, Request, Response
+from kombu.asynchronous import get_event_loop
+from kombu.asynchronous.http.base import Headers, Request, Response
+from kombu.asynchronous.hub import Hub
+
+if TYPE_CHECKING:
+    from kombu.asynchronous.http.curl import CurlClient
 
 __all__ = ('Client', 'Headers', 'Response', 'Request')
 
 
-def Client(hub=None, **kwargs):
+def Client(hub: Optional[Hub] = None, **kwargs: int) -> "CurlClient":
     """Create new HTTP client."""
     from .curl import CurlClient
     return CurlClient(hub, **kwargs)
 
 
-def get_client(hub=None, **kwargs):
+def get_client(hub: Optional[Hub] = None, **kwargs: int) -> "CurlClient":
     """Get or create HTTP client bound to the current event loop."""
     hub = hub or get_event_loop()
     try:
diff --git a/kombu/asynchronous/http/curl.py b/kombu/asynchronous/http/curl.py
index bd45c893..8c601956 100644
--- a/kombu/asynchronous/http/curl.py
+++ b/kombu/asynchronous/http/curl.py
@@ -4,8 +4,9 @@ from collections import deque
 from functools import partial
 from io import BytesIO
 from time import time
+from typing import Optional
 
-from kombu.asynchronous.hub import READ, WRITE, get_event_loop
+from kombu.asynchronous.hub import READ, WRITE, Hub, get_event_loop
 from kombu.exceptions import HttpError
 from kombu.utils.encoding import bytes_to_str
 
@@ -36,7 +37,7 @@ class CurlClient(BaseClient):
 
     Curl = Curl
 
-    def __init__(self, hub=None, max_clients=10):
+    def __init__(self, hub: Optional[Hub] = None, max_clients: int = 10):
         if pycurl is None:
             raise ImportError('The curl client requires the pycurl library.')
         hub = hub or get_event_loop()
diff --git a/kombu/asynchronous/hub.py b/kombu/asynchronous/hub.py
index 2d479db7..73c4a7ff 100644
--- a/kombu/asynchronous/hub.py
+++ b/kombu/asynchronous/hub.py
@@ -6,6 +6,7 @@ from contextlib import contextmanager
 from queue import Empty
 from time import sleep
 from types import GeneratorType as generator
+from typing import Optional
 
 from vine import Thenable, promise
 
@@ -19,7 +20,7 @@ from .timer import Timer
 __all__ = ('Hub', 'get_event_loop', 'set_event_loop')
 logger = get_logger(__name__)
 
-_current_loop = None
+_current_loop: Optional["Hub"] = None
 
 W_UNKNOWN_EVENT = """\
 Received unknown event %r for fd %r, please contact support!\
@@ -39,12 +40,12 @@ def _dummy_context(*args, **kwargs):
     yield
 
 
-def get_event_loop():
+def get_event_loop() -> Optional["Hub"]:
     """Get current event loop object."""
     return _current_loop
 
 
-def set_event_loop(loop):
+def set_event_loop(loop: Optional["Hub"]) -> Optional["Hub"]:
     """Set the current event loop object."""
     global _current_loop
     _current_loop = loop
diff --git a/kombu/transport/__init__.py b/kombu/transport/__init__.py
index 5fb5047b..f51b5bbc 100644
--- a/kombu/transport/__init__.py
+++ b/kombu/transport/__init__.py
@@ -1,10 +1,12 @@
 """Built-in transports."""
 
+from typing import Optional
+
 from kombu.utils.compat import _detect_environment
 from kombu.utils.imports import symbol_by_name
 
 
-def supports_librabbitmq():
+def supports_librabbitmq() -> Optional[bool]:
     """Return true if :pypi:`librabbitmq` can be used."""
     if _detect_environment() == 'default':
         try:
@@ -13,6 +15,7 @@ def supports_librabbitmq():
             pass
         else:                # pragma: no cover
             return True
+    return None
 
 
 TRANSPORT_ALIASES = {
@@ -44,7 +47,7 @@ TRANSPORT_ALIASES = {
 _transport_cache = {}
 
 
-def resolve_transport(transport=None):
+def resolve_transport(transport: Optional[str] = None) -> Optional[str]:
     """Get transport by name.
 
     Arguments:
@@ -71,7 +74,7 @@ def resolve_transport(transport=None):
     return transport
 
 
-def get_transport_cls(transport=None):
+def get_transport_cls(transport: Optional[str] = None) -> Optional[str]:
     """Get transport class by name.
 
     The transport string is the full path to a transport class, e.g.::
diff --git a/kombu/utils/text.py b/kombu/utils/text.py
index b930daaf..8cc11f34 100644
--- a/kombu/utils/text.py
+++ b/kombu/utils/text.py
@@ -3,7 +3,7 @@
 
 
 from difflib import SequenceMatcher
-from typing import Iterator, Optional, Sequence, Tuple, Union
+from typing import Iterable, Iterator, Optional, Tuple, Union
 
 from kombu import version_info_t
 
@@ -17,7 +17,7 @@ def escape_regex(p, white=''):
                    for c in p)
 
 
-def fmatch_iter(needle: str, haystack: Sequence[str], min_ratio: float = 0.6) -> Iterator[Tuple[float, str]]:
+def fmatch_iter(needle: str, haystack: Iterable[str], min_ratio: float = 0.6) -> Iterator[Tuple[float, str]]:
     """Fuzzy match: iteratively.
 
     Yields:
@@ -29,7 +29,7 @@ def fmatch_iter(needle: str, haystack: Sequence[str], min_ratio: float = 0.6) ->
             yield ratio, key
 
 
-def fmatch_best(needle: str, haystack: Sequence[str], min_ratio: float = 0.6) -> Optional[str]:
+def fmatch_best(needle: str, haystack: Iterable[str], min_ratio: float = 0.6) -> Optional[str]:
     """Fuzzy match - Find best match (scalar)."""
     try:
         return sorted(
diff --git a/setup.cfg b/setup.cfg
index 80d4da1d..ff949215 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -15,7 +15,6 @@ extend-ignore = W504, N806, N802, N801, N803
 [mypy]
 warn_unused_configs = True
 strict = False
-warn_return_any = True
 follow_imports = skip
 show_error_codes = True
 disallow_untyped_defs = True
@@ -25,6 +24,14 @@ files =
     kombu/utils/uuid.py,
     t/unit/utils/test_uuid.py,
     kombu/utils/text.py,
+    kombu/__init__.py,
+    kombu/asynchronous/__init__.py,
+    kombu/asynchronous/aws/__init__.py,
+    kombu/asynchronous/aws/sqs/__init__.py,
+    kombu/asynchronous/http/__init__.py,
+    kombu/transport/__init__.py,
+    kombu/transport/virtual/__init__.py,
+    kombu/utils/__init__.py,
     kombu/asynchronous/semaphore.py