diff --git a/src/cloudstorage/drivers/local.py b/src/cloudstorage/drivers/local.py
index e436aa8..d13f2c4 100644
--- a/src/cloudstorage/drivers/local.py
+++ b/src/cloudstorage/drivers/local.py
@@ -538,7 +538,6 @@ def get_blob(self, container: Container, blob_name: str) -> Blob:
 
     def get_blobs(self, container: Container) -> Iterable[Blob]:
         container_path = self._get_folder_path(container, validate=True)
-
         for folder, sub_folders, files in os.walk(container_path, topdown=True):
             # Remove unwanted sub-folders
             for sub_folder in IGNORE_FOLDERS:
@@ -549,7 +548,7 @@ def get_blobs(self, container: Container) -> Iterable[Blob]:
                 full_path = os.path.join(folder, name)
                 if not self._check_path_accessible(full_path):
                     continue
-                object_name = pathlib.Path(full_path).name
+                object_name = pathlib.Path(full_path).relative_to(container.cdn_url).as_posix()
                 yield self._make_blob(container, object_name)
 
     def download_blob(self, blob: Blob, destination: FileLike) -> None:
diff --git a/tests/test_drivers_local.py b/tests/test_drivers_local.py
index 7ee19f1..0d71d1f 100644
--- a/tests/test_drivers_local.py
+++ b/tests/test_drivers_local.py
@@ -1,3 +1,4 @@
+import io
 import os
 import shutil
 import multiprocessing as mp
@@ -142,6 +143,15 @@ def test_container_get_blob(container, text_blob):
     assert text_get_blob == text_blob
 
 
+def test_container_get_blobs(container):
+    container.upload_blob(
+        io.BytesIO(b'Hello'),
+        blob_name='some/where/hello.txt'
+    )
+
+    assert [blob.name for blob in container] == ['some/where/hello.txt']
+
+
 def test_container_get_blob_invalid(container):
     blob_name = random_container_name()