diff --git a/swh/objstorage/api/client.py b/swh/objstorage/api/client.py
--- a/swh/objstorage/api/client.py
+++ b/swh/objstorage/api/client.py
@@ -6,8 +6,8 @@
 from swh.core.api import RPCClient
 from swh.model import hashutil
 
-from ..objstorage import DEFAULT_CHUNK_SIZE, DEFAULT_LIMIT
-from ..exc import Error, ObjNotFoundError, ObjStorageAPIError
+from swh.objstorage.objstorage import DEFAULT_CHUNK_SIZE, DEFAULT_LIMIT
+from swh.objstorage.exc import Error, ObjNotFoundError, ObjStorageAPIError
 
 
 class RemoteObjStorage:
diff --git a/swh/objstorage/multiplexer/__init__.py b/swh/objstorage/multiplexer/__init__.py
--- a/swh/objstorage/multiplexer/__init__.py
+++ b/swh/objstorage/multiplexer/__init__.py
@@ -1,5 +1,5 @@
-from .multiplexer_objstorage import MultiplexerObjStorage
-from .striping_objstorage import StripingObjStorage
+from swh.objstorage.multiplexer.multiplexer_objstorage import MultiplexerObjStorage
+from swh.objstorage.multiplexer.striping_objstorage import StripingObjStorage
 
 
 __all__ = ["MultiplexerObjStorage", "StripingObjStorage"]
diff --git a/swh/objstorage/multiplexer/filter/filter.py b/swh/objstorage/multiplexer/filter/filter.py
--- a/swh/objstorage/multiplexer/filter/filter.py
+++ b/swh/objstorage/multiplexer/filter/filter.py
@@ -3,7 +3,7 @@
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
-from ...objstorage import ObjStorage
+from swh.objstorage.objstorage import ObjStorage
 
 
 class ObjStorageFilter(ObjStorage):
diff --git a/swh/objstorage/multiplexer/filter/id_filter.py b/swh/objstorage/multiplexer/filter/id_filter.py
--- a/swh/objstorage/multiplexer/filter/id_filter.py
+++ b/swh/objstorage/multiplexer/filter/id_filter.py
@@ -8,9 +8,9 @@
 
 from swh.model import hashutil
 
-from .filter import ObjStorageFilter
-from ...objstorage import compute_hash
-from ...exc import ObjNotFoundError
+from swh.objstorage.multiplexer.filter.filter import ObjStorageFilter
+from swh.objstorage.objstorage import compute_hash
+from swh.objstorage.exc import ObjNotFoundError
 
 
 class IdObjStorageFilter(ObjStorageFilter, metaclass=abc.ABCMeta):
diff --git a/swh/objstorage/multiplexer/filter/read_write_filter.py b/swh/objstorage/multiplexer/filter/read_write_filter.py
--- a/swh/objstorage/multiplexer/filter/read_write_filter.py
+++ b/swh/objstorage/multiplexer/filter/read_write_filter.py
@@ -3,7 +3,7 @@
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
-from .filter import ObjStorageFilter
+from swh.objstorage.multiplexer.filter.filter import ObjStorageFilter
 
 
 class ReadObjStorageFilter(ObjStorageFilter):
diff --git a/swh/objstorage/multiplexer/multiplexer_objstorage.py b/swh/objstorage/multiplexer/multiplexer_objstorage.py
--- a/swh/objstorage/multiplexer/multiplexer_objstorage.py
+++ b/swh/objstorage/multiplexer/multiplexer_objstorage.py
@@ -7,8 +7,8 @@
 import random
 import threading
 
-from ..objstorage import ObjStorage
-from ..exc import ObjNotFoundError
+from swh.objstorage.objstorage import ObjStorage
+from swh.objstorage.exc import ObjNotFoundError
 
 
 class ObjStorageThread(threading.Thread):
diff --git a/swh/objstorage/multiplexer/striping_objstorage.py b/swh/objstorage/multiplexer/striping_objstorage.py
--- a/swh/objstorage/multiplexer/striping_objstorage.py
+++ b/swh/objstorage/multiplexer/striping_objstorage.py
@@ -6,7 +6,10 @@
 from collections import defaultdict
 import queue
 
-from .multiplexer_objstorage import ObjStorageThread, MultiplexerObjStorage
+from swh.objstorage.multiplexer.multiplexer_objstorage import (
+    ObjStorageThread,
+    MultiplexerObjStorage,
+)
 
 
 class StripingObjStorage(MultiplexerObjStorage):