diff --git a/test/asynchronous/test_srv_polling.py b/test/asynchronous/test_srv_polling.py
index b40aa90cfa..3ba50e77a8 100644
--- a/test/asynchronous/test_srv_polling.py
+++ b/test/asynchronous/test_srv_polling.py
@@ -20,7 +20,6 @@
 import time
 from test.utils_shared import FunctionCallRecorder
 from typing import Any
-from unittest import skipIf
 
 sys.path[0:0] = [""]
 
@@ -92,7 +91,6 @@ def __exit__(self, exc_type, exc_val, exc_tb):
         self.disable()
 
 
-@skipIf(not _IS_SYNC and sys.platform == "win32", "PYTHON-5342 known issue on Windows")
 class TestSrvPolling(AsyncPyMongoTestCase):
     BASE_SRV_RESPONSE = [
         ("localhost.test.build.10gen.cc", 27017),
@@ -186,6 +184,9 @@ def dns_resolver_response():
             ):
                 await assertion_method(expected_response, client)
 
+            # Close the client early to avoid affecting the next scenario run.
+            await client.close()
+
     async def test_addition(self):
         response = self.BASE_SRV_RESPONSE[:]
         response.append(("localhost.test.build.10gen.cc", 27019))
diff --git a/test/test_srv_polling.py b/test/test_srv_polling.py
index 0d84d41241..971c3bad50 100644
--- a/test/test_srv_polling.py
+++ b/test/test_srv_polling.py
@@ -20,7 +20,6 @@
 import time
 from test.utils_shared import FunctionCallRecorder
 from typing import Any
-from unittest import skipIf
 
 sys.path[0:0] = [""]
 
@@ -92,7 +91,6 @@ def __exit__(self, exc_type, exc_val, exc_tb):
         self.disable()
 
 
-@skipIf(not _IS_SYNC and sys.platform == "win32", "PYTHON-5342 known issue on Windows")
 class TestSrvPolling(PyMongoTestCase):
     BASE_SRV_RESPONSE = [
         ("localhost.test.build.10gen.cc", 27017),
@@ -186,6 +184,9 @@ def dns_resolver_response():
             ):
                 assertion_method(expected_response, client)
 
+            # Close the client early to avoid affecting the next scenario run.
+            client.close()
+
     def test_addition(self):
         response = self.BASE_SRV_RESPONSE[:]
         response.append(("localhost.test.build.10gen.cc", 27019))