diff --git a/test/asynchronous/test_pooling.py b/test/asynchronous/test_pooling.py
index 2f0d5fc96..9db9b5ab3 100644
--- a/test/asynchronous/test_pooling.py
+++ b/test/asynchronous/test_pooling.py
@@ -29,7 +29,6 @@ from pymongo import AsyncMongoClient, message, timeout
 from pymongo.errors import AutoReconnect, ConnectionFailure, DuplicateKeyError
 from pymongo.hello import HelloCompat
 from pymongo.lock import _async_create_lock
-from pymongo.read_preferences import ReadPreference
 
 sys.path[0:0] = [""]
 
diff --git a/test/asynchronous/test_retryable_writes.py b/test/asynchronous/test_retryable_writes.py
index 97f99dc16..a85b181fe 100644
--- a/test/asynchronous/test_retryable_writes.py
+++ b/test/asynchronous/test_retryable_writes.py
@@ -48,6 +48,7 @@ from pymongo.errors import (
     AutoReconnect,
     ConnectionFailure,
     NotPrimaryError,
+    PyMongoError,
     ServerSelectionTimeoutError,
     WriteConcernError,
 )
@@ -775,9 +776,7 @@ class TestErrorPropagationAfterEncounteringMultipleErrors(AsyncIntegrationTest):
 
         # Attempt an insertOne operation on any record for any database and collection.
         # Expect the insertOne to fail with a server error.
-        from pymongo.errors import OperationFailure
-
-        with self.assertRaises(Exception) as exc:
+        with self.assertRaises(PyMongoError) as exc:
             await client.test.test.insert_one({})
 
         # Assert that the error code of the server error is 91.
diff --git a/test/asynchronous/test_transactions.py b/test/asynchronous/test_transactions.py
index 2376a1af2..e17bfb14c 100644
--- a/test/asynchronous/test_transactions.py
+++ b/test/asynchronous/test_transactions.py
@@ -705,7 +705,7 @@ class TestTransactionsConvenientAPI(AsyncTransactionsBase):
             async with self.client.start_session() as s:
                 await s.with_transaction(callback)
             end = time.monotonic()
-        self.assertLess(abs(end - start - (no_backoff_time + 2.2)), 1)  # sum of 5 backoffs is 2.2
+        self.assertLess(abs(end - start - (no_backoff_time + 2.2)), 1)  # sum of 13 backoffs is 2.2
 
 
 class TestOptionsInsideTransactionProse(AsyncTransactionsBase):
diff --git a/test/test_pooling.py b/test/test_pooling.py
index 0f7ef144f..95558d00d 100644
--- a/test/test_pooling.py
+++ b/test/test_pooling.py
@@ -29,7 +29,6 @@ from pymongo import MongoClient, message, timeout
 from pymongo.errors import AutoReconnect, ConnectionFailure, DuplicateKeyError
 from pymongo.hello import HelloCompat
 from pymongo.lock import _create_lock
-from pymongo.read_preferences import ReadPreference
 
 sys.path[0:0] = [""]
 
diff --git a/test/test_retryable_writes.py b/test/test_retryable_writes.py
index 4daa5643c..a8b1280f3 100644
--- a/test/test_retryable_writes.py
+++ b/test/test_retryable_writes.py
@@ -48,6 +48,7 @@ from pymongo.errors import (
     AutoReconnect,
     ConnectionFailure,
     NotPrimaryError,
+    PyMongoError,
     ServerSelectionTimeoutError,
     WriteConcernError,
 )
@@ -771,9 +772,7 @@ class TestErrorPropagationAfterEncounteringMultipleErrors(IntegrationTest):
 
         # Attempt an insertOne operation on any record for any database and collection.
         # Expect the insertOne to fail with a server error.
-        from pymongo.errors import OperationFailure
-
-        with self.assertRaises(Exception) as exc:
+        with self.assertRaises(PyMongoError) as exc:
             client.test.test.insert_one({})
 
         # Assert that the error code of the server error is 91.
diff --git a/test/test_transactions.py b/test/test_transactions.py
index 0159d9231..609105ec2 100644
--- a/test/test_transactions.py
+++ b/test/test_transactions.py
@@ -693,7 +693,7 @@ class TestTransactionsConvenientAPI(TransactionsBase):
             with self.client.start_session() as s:
                 s.with_transaction(callback)
             end = time.monotonic()
-        self.assertLess(abs(end - start - (no_backoff_time + 2.2)), 1)  # sum of 5 backoffs is 2.2
+        self.assertLess(abs(end - start - (no_backoff_time + 2.2)), 1)  # sum of 13 backoffs is 2.2
 
 
 class TestOptionsInsideTransactionProse(TransactionsBase):