diff --git a/kombu/utils/text.py b/kombu/utils/text.py
index 1d5fb9de..b930daaf 100644
--- a/kombu/utils/text.py
+++ b/kombu/utils/text.py
@@ -3,6 +3,7 @@
 
 
 from difflib import SequenceMatcher
+from typing import Iterator, Optional, Sequence, Tuple, Union
 
 from kombu import version_info_t
 
@@ -16,8 +17,7 @@ def escape_regex(p, white=''):
                    for c in p)
 
 
-def fmatch_iter(needle, haystack, min_ratio=0.6):
-    # type: (str, Sequence[str], float) -> Iterator[Tuple[float, str]]
+def fmatch_iter(needle: str, haystack: Sequence[str], min_ratio: float = 0.6) -> Iterator[Tuple[float, str]]:
     """Fuzzy match: iteratively.
 
     Yields:
@@ -29,19 +29,17 @@ def fmatch_iter(needle, haystack, min_ratio=0.6):
             yield ratio, key
 
 
-def fmatch_best(needle, haystack, min_ratio=0.6):
-    # type: (str, Sequence[str], float) -> str
+def fmatch_best(needle: str, haystack: Sequence[str], min_ratio: float = 0.6) -> Optional[str]:
     """Fuzzy match - Find best match (scalar)."""
     try:
         return sorted(
             fmatch_iter(needle, haystack, min_ratio), reverse=True,
         )[0][1]
     except IndexError:
-        pass
+        return None
 
 
-def version_string_as_tuple(s):
-    # type: (str) -> version_info_t
+def version_string_as_tuple(s: str) -> version_info_t:
     """Convert version string to version info tuple."""
     v = _unpack_version(*s.split('.'))
     # X.Y.3a1 -> (X, Y, 3, 'a1')
@@ -53,13 +51,17 @@ def version_string_as_tuple(s):
     return v
 
 
-def _unpack_version(major, minor=0, micro=0, releaselevel='', serial=''):
-    # type: (int, int, int, str, str) -> version_info_t
+def _unpack_version(
+    major: str,
+    minor: Union[str, int] = 0,
+    micro: Union[str, int] = 0,
+    releaselevel: str = '',
+    serial: str = ''
+) -> version_info_t:
     return version_info_t(int(major), int(minor), micro, releaselevel, serial)
 
 
-def _splitmicro(micro, releaselevel='', serial=''):
-    # type: (int, str, str) -> Tuple[int, str, str]
+def _splitmicro(micro: str, releaselevel: str = '', serial: str = '') -> Tuple[int, str, str]:
     for index, char in enumerate(micro):
         if not char.isdigit():
             break
diff --git a/kombu/utils/uuid.py b/kombu/utils/uuid.py
index 010b3440..b7a5bf48 100644
--- a/kombu/utils/uuid.py
+++ b/kombu/utils/uuid.py
@@ -1,9 +1,9 @@
 """UUID utilities."""
-
-from uuid import uuid4
+from typing import Callable
+from uuid import UUID, uuid4
 
 
-def uuid(_uuid=uuid4):
+def uuid(_uuid: Callable[[], UUID] = uuid4) -> str:
     """Generate unique id in UUID4 format.
 
     See Also:
diff --git a/setup.cfg b/setup.cfg
index 7e5a0362..80d4da1d 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -22,8 +22,12 @@ disallow_untyped_defs = True
 ignore_missing_imports = True
 files =
     kombu/utils/time.py,
+    kombu/utils/uuid.py,
+    t/unit/utils/test_uuid.py,
+    kombu/utils/text.py,
     kombu/asynchronous/semaphore.py
 
+
 [pep257]
 ignore = D102,D104,D203,D105,D213
 
diff --git a/t/unit/utils/test_uuid.py b/t/unit/utils/test_uuid.py
index 05d89125..521d652b 100644
--- a/t/unit/utils/test_uuid.py
+++ b/t/unit/utils/test_uuid.py
@@ -3,10 +3,10 @@ from kombu.utils.uuid import uuid
 
 class test_UUID:
 
-    def test_uuid4(self):
+    def test_uuid4(self) -> None:
         assert uuid() != uuid()
 
-    def test_uuid(self):
+    def test_uuid(self) -> None:
         i1 = uuid()
         i2 = uuid()
         assert isinstance(i1, str)