diff --git a/swh/objstorage/tests/test_objstorage_seaweedfs.py b/swh/objstorage/tests/test_objstorage_seaweedfs.py
index 5a3484a..cb35bfe 100644
--- a/swh/objstorage/tests/test_objstorage_seaweedfs.py
+++ b/swh/objstorage/tests/test_objstorage_seaweedfs.py
@@ -1,45 +1,61 @@
 # Copyright (C) 2019  The Software Heritage developers
 # See the AUTHORS file at the top-level directory of this distribution
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
 import unittest
 
+from typing import Optional
+
 from swh.objstorage.backends.seaweed import WeedObjStorage, DEFAULT_LIMIT
 from swh.objstorage.tests.objstorage_testing import ObjStorageTestFixture
 
 
 class MockWeedFiler:
     """ WeedFiler mock that replicates its API """
     def __init__(self, url):
         self.url = url
         self.content = {}
 
     def get(self, remote_path):
         return self.content[remote_path]
 
     def put(self, fp, remote_path):
         self.content[remote_path] = fp.read()
 
     def exists(self, remote_path):
         return remote_path in self.content
 
     def delete(self, remote_path):
         del self.content[remote_path]
 
     def list(self, dir, last_file_name=None, limit=DEFAULT_LIMIT):
         keys = sorted(self.content.keys())
         if last_file_name is None:
             idx = 0
         else:
             idx = keys.index(last_file_name) + 1
         return {'Entries': [{'FullPath': x} for x in keys[idx:idx+limit]]}
 
 
 class TestWeedObjStorage(ObjStorageTestFixture, unittest.TestCase):
+    compression = None  # type: Optional[str]
 
     def setUp(self):
         super().setUp()
         self.url = 'http://127.0.0.1/test'
-        self.storage = WeedObjStorage(url=self.url)
+        self.storage = WeedObjStorage(url=self.url,
+                                      compression=self.compression)
         self.storage.wf = MockWeedFiler(self.url)
+
+
+class TestWeedObjStorageBz2(TestWeedObjStorage):
+    compression = 'bz2'
+
+
+class TestWeedObjStorageLzma(TestWeedObjStorage):
+    compression = 'lzma'
+
+
+class TestWeedObjStorageZlib(TestWeedObjStorage):
+    compression = 'zlib'