diff --git a/src/ZODB/tests/testThreadedShutdown.py b/src/ZODB/tests/testThreadedShutdown.py
index 0acf2371d..d0d975eaf 100644
--- a/src/ZODB/tests/testThreadedShutdown.py
+++ b/src/ZODB/tests/testThreadedShutdown.py
@@ -1,6 +1,5 @@
 import threading
 import time
-import unittest
 
 import ZODB
 
diff --git a/src/ZODB/tests/test_storage.py b/src/ZODB/tests/test_storage.py
index e17f8a981..05ad765ac 100644
--- a/src/ZODB/tests/test_storage.py
+++ b/src/ZODB/tests/test_storage.py
@@ -19,7 +19,6 @@
 storage tests against the test storage.
 """
 import bisect
-import unittest
 
 from ZODB import POSException
 from ZODB.BaseStorage import BaseStorage