diff --git a/src/_zkapauthorizer/_storage_server.py b/src/_zkapauthorizer/_storage_server.py
index 5a84e0c49f831d9388a872e1b985cdf03f33d4d3..e081a02e3d51c613785d3fc0fd92374d7ddccfc2 100644
--- a/src/_zkapauthorizer/_storage_server.py
+++ b/src/_zkapauthorizer/_storage_server.py
@@ -30,11 +30,6 @@ from os import listdir, stat
 from os.path import join
 from struct import calcsize, unpack
 
-try:
-    from typing import Dict, Generator, Iterable, List, Optional, Tuple
-except ImportError:
-    pass
-
 import attr
 from allmydata.interfaces import RIStorageServer, TestAndWriteVectorsForShares
 from allmydata.storage.common import storage_index_to_dir
@@ -66,7 +61,7 @@ from .storage_common import (
 )
 
 try:
-    from typing import Dict, List, Optional
+    from typing import Dict, Generator, Iterable, List, Optional, Tuple
 except ImportError:
     pass
 
diff --git a/src/_zkapauthorizer/lease_maintenance.py b/src/_zkapauthorizer/lease_maintenance.py
index 38130db91b8f8910ef245a1cfce9eb3cf7042ff6..a5763b3dd25b0df80f10f479de197bf8f4a54806 100644
--- a/src/_zkapauthorizer/lease_maintenance.py
+++ b/src/_zkapauthorizer/lease_maintenance.py
@@ -21,11 +21,6 @@ from datetime import datetime, timedelta
 from errno import ENOENT
 from functools import partial
 
-try:
-    from typing import Iterable
-except ImportError:
-    pass
-
 import attr
 from allmydata.interfaces import IDirectoryNode, IFilesystemNode
 from allmydata.util.hashutil import (
diff --git a/src/_zkapauthorizer/tests/test_lease_maintenance.py b/src/_zkapauthorizer/tests/test_lease_maintenance.py
index ed4fff90c33cfe891043e564b1cd3c9aca66d2fe..156757ef6e70c5d7b6d05773c4780ea800b2d1c6 100644
--- a/src/_zkapauthorizer/tests/test_lease_maintenance.py
+++ b/src/_zkapauthorizer/tests/test_lease_maintenance.py
@@ -20,11 +20,6 @@ from __future__ import absolute_import, unicode_literals
 
 from datetime import datetime, timedelta
 
-try:
-    from typing import Dict, List
-except ImportError:
-    pass
-
 import attr
 from allmydata.client import SecretHolder
 from allmydata.interfaces import IServer, IStorageBroker