diff --git a/pymongo/asynchronous/mongo_client.py b/pymongo/asynchronous/mongo_client.py
index 9dba97d12a..f7fc8e5e81 100644
--- a/pymongo/asynchronous/mongo_client.py
+++ b/pymongo/asynchronous/mongo_client.py
@@ -1185,7 +1185,7 @@ def __getitem__(self, name: str) -> database.AsyncDatabase[_DocumentType]:
     def __del__(self) -> None:
         """Check that this AsyncMongoClient has been closed and issue a warning if not."""
         try:
-            if not self._closed:
+            if self._opened and not self._closed:
                 warnings.warn(
                     (
                         f"Unclosed {type(self).__name__} opened at:\n{self._topology_settings._stack}"
diff --git a/pymongo/synchronous/mongo_client.py b/pymongo/synchronous/mongo_client.py
index 21fa57b5d8..5786bbf5a9 100644
--- a/pymongo/synchronous/mongo_client.py
+++ b/pymongo/synchronous/mongo_client.py
@@ -1185,7 +1185,7 @@ def __getitem__(self, name: str) -> database.Database[_DocumentType]:
     def __del__(self) -> None:
         """Check that this MongoClient has been closed and issue a warning if not."""
         try:
-            if not self._closed:
+            if self._opened and not self._closed:
                 warnings.warn(
                     (
                         f"Unclosed {type(self).__name__} opened at:\n{self._topology_settings._stack}"