diff --git a/.evergreen/config.yml b/.evergreen/config.yml
index e67101c0..30a9c374 100644
--- a/.evergreen/config.yml
+++ b/.evergreen/config.yml
@@ -346,33 +346,6 @@ tasks:
 
 # Test tasks {{{
 
-    - name: "test-4.0-standalone"
-      tags: ["4.0", "standalone"]
-      commands:
-        - func: "bootstrap mongo-orchestration"
-          vars:
-            VERSION: "4.0"
-            TOPOLOGY: "server"
-        - func: "run tox"
-
-    - name: "test-4.0-replica_set"
-      tags: ["4.0", "replica_set"]
-      commands:
-        - func: "bootstrap mongo-orchestration"
-          vars:
-            VERSION: "4.0"
-            TOPOLOGY: "replica_set"
-        - func: "run tox"
-
-    - name: "test-4.0-sharded_cluster"
-      tags: ["4.0", "sharded_cluster"]
-      commands:
-        - func: "bootstrap mongo-orchestration"
-          vars:
-            VERSION: "4.0"
-            TOPOLOGY: "sharded_cluster"
-        - func: "run tox"
-
     - name: "test-4.2-standalone"
       tags: ["4.2", "standalone"]
       commands:
diff --git a/doc/conf.py b/doc/conf.py
index 0322e3b6..664c3a12 100644
--- a/doc/conf.py
+++ b/doc/conf.py
@@ -75,6 +75,9 @@ pygments_style = "sphinx"
 
 linkcheck_ignore = [r"http://localhost:\d+"]
 
+# Allow for flaky links.
+linkcheck_retries = 3
+
 # -- Options for extensions ----------------------------------------------------
 autoclass_content = "init"
 
diff --git a/test/tornado_tests/test_motor_client.py b/test/tornado_tests/test_motor_client.py
index 5bd0b53c..e2591804 100644
--- a/test/tornado_tests/test_motor_client.py
+++ b/test/tornado_tests/test_motor_client.py
@@ -25,7 +25,7 @@ from test.utils import AUTO_ISMASTER, get_primary_pool, one
 import pymongo
 import pymongo.mongo_client
 from bson import CodecOptions
-from mockupdb import OpQuery
+from mockupdb import OpMsg, OpQuery
 from pymongo import CursorType, ReadPreference, WriteConcern
 from pymongo.common import MIN_SUPPORTED_WIRE_VERSION
 from pymongo.driver_info import DriverInfo
@@ -234,7 +234,8 @@ class MotorClientExhaustCursorTest(MotorMockServerTest):
 
         # With Tornado, simply accessing fetch_next starts the fetch.
         fetch_next = cursor.fetch_next
-        request = await self.run_thread(server.receives, OpQuery)
+        expected = OpQuery if pymongo.version_tuple[0:2] < (4, 14) else OpMsg({})
+        request = await self.run_thread(server.receives, expected)
         request.fail(code=1)
 
         with self.assertRaises(pymongo.errors.OperationFailure):
@@ -245,10 +246,12 @@ class MotorClientExhaustCursorTest(MotorMockServerTest):
 
     @gen_test
     async def test_exhaust_query_server_error_standalone(self):
+        raise self.skipTest("MOTOR-1472")
         await self._test_exhaust_query_server_error(rs=False)
 
     @gen_test
     async def test_exhaust_query_server_error_rs(self):
+        raise self.skipTest("MOTOR-1472")
         await self._test_exhaust_query_server_error(rs=True)
 
     async def _test_exhaust_query_network_error(self, rs):
@@ -267,7 +270,8 @@ class MotorClientExhaustCursorTest(MotorMockServerTest):
 
         # With Tornado, simply accessing fetch_next starts the fetch.
         fetch_next = cursor.fetch_next
-        request = await self.run_thread(server.receives, OpQuery)
+        expected = OpQuery if pymongo.version_tuple[0:2] < (4, 14) else OpMsg({})
+        request = await self.run_thread(server.receives, expected)
         request.hangs_up()
 
         with self.assertRaises(pymongo.errors.ConnectionFailure):
diff --git a/test/tornado_tests/test_motor_core.py b/test/tornado_tests/test_motor_core.py
index 65ff4ed2..45aecc03 100644
--- a/test/tornado_tests/test_motor_core.py
+++ b/test/tornado_tests/test_motor_core.py
@@ -35,7 +35,7 @@ pymongo_gridfs_only = set(["delete_by_name", "rename_by_name"])
 
 motor_client_only = motor_only.union(["open"])
 
-pymongo_client_only = set(["eq_props"]).union(pymongo_only)
+pymongo_client_only = set(["eq_props", "append_metadata"]).union(pymongo_only)
 
 pymongo_database_only = set([]).union(pymongo_only)