diff --git a/pymongo/asynchronous/client_bulk.py b/pymongo/asynchronous/client_bulk.py
index bda374e9b..508b8e41c 100644
--- a/pymongo/asynchronous/client_bulk.py
+++ b/pymongo/asynchronous/client_bulk.py
@@ -569,7 +569,6 @@ class _AsyncClientBulk:
                         and "errorLabels" in error.details
                         and isinstance(error.details["errorLabels"], list)
                         and "RetryableError" in error.details["errorLabels"]
-                        and "SystemOverloadedError" in error.details["errorLabels"]
                     )
 
                     # Synthesize the full bulk result without modifying the
diff --git a/pymongo/synchronous/client_bulk.py b/pymongo/synchronous/client_bulk.py
index 30f32488e..e8167bced 100644
--- a/pymongo/synchronous/client_bulk.py
+++ b/pymongo/synchronous/client_bulk.py
@@ -567,7 +567,6 @@ class _ClientBulk:
                         and "errorLabels" in error.details
                         and isinstance(error.details["errorLabels"], list)
                         and "RetryableError" in error.details["errorLabels"]
-                        and "SystemOverloadedError" in error.details["errorLabels"]
                     )
 
                     # Synthesize the full bulk result without modifying the
diff --git a/test/asynchronous/test_client_backpressure.py b/test/asynchronous/test_client_backpressure.py
index 9e617d74e..d79a9114d 100644
--- a/test/asynchronous/test_client_backpressure.py
+++ b/test/asynchronous/test_client_backpressure.py
@@ -96,20 +96,18 @@ class TestBackpressure(AsyncIntegrationTest):
 
     @async_client_context.require_failCommand_appName
     async def test_retry_overload_error_insert_one(self):
-        await self.db.t.insert_one({"x": 1})
-
         # Ensure command is retried on overload error.
         fail_many = mock_overload_error.copy()
         fail_many["mode"] = {"times": _MAX_RETRIES}
         async with self.fail_point(fail_many):
-            await self.db.t.find_one()
+            await self.db.t.insert_one({"x": 1})
 
         # Ensure command stops retrying after _MAX_RETRIES.
         fail_too_many = mock_overload_error.copy()
         fail_too_many["mode"] = {"times": _MAX_RETRIES + 1}
         async with self.fail_point(fail_too_many):
             with self.assertRaises(PyMongoError) as error:
-                await self.db.t.find_one()
+                await self.db.t.insert_one({"x": 1})
 
         self.assertIn("RetryableError", str(error.exception))
         self.assertIn("SystemOverloadedError", str(error.exception))
diff --git a/test/test_client_backpressure.py b/test/test_client_backpressure.py
index 0a2e60941..b82846d35 100644
--- a/test/test_client_backpressure.py
+++ b/test/test_client_backpressure.py
@@ -96,20 +96,18 @@ class TestBackpressure(IntegrationTest):
 
     @client_context.require_failCommand_appName
     def test_retry_overload_error_insert_one(self):
-        self.db.t.insert_one({"x": 1})
-
         # Ensure command is retried on overload error.
         fail_many = mock_overload_error.copy()
         fail_many["mode"] = {"times": _MAX_RETRIES}
         with self.fail_point(fail_many):
-            self.db.t.find_one()
+            self.db.t.insert_one({"x": 1})
 
         # Ensure command stops retrying after _MAX_RETRIES.
         fail_too_many = mock_overload_error.copy()
         fail_too_many["mode"] = {"times": _MAX_RETRIES + 1}
         with self.fail_point(fail_too_many):
             with self.assertRaises(PyMongoError) as error:
-                self.db.t.find_one()
+                self.db.t.insert_one({"x": 1})
 
         self.assertIn("RetryableError", str(error.exception))
         self.assertIn("SystemOverloadedError", str(error.exception))