diff --git a/swh/objstorage/objstorage.py b/swh/objstorage/objstorage.py
--- a/swh/objstorage/objstorage.py
+++ b/swh/objstorage/objstorage.py
@@ -1,4 +1,4 @@
-# Copyright (C) 2015-2017  The Software Heritage developers
+# Copyright (C) 2015-2018  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
@@ -16,10 +16,20 @@
 
 
 def compute_hash(content):
-    return hashutil.hash_data(
+    """Compute the content's hash.
+
+    Args:
+        content (bytes): The raw content to hash
+        hash_name (str): Hash's name (default to ID_HASH_ALGO)
+
+    Returns:
+        The ID_HASH_ALGO for the content
+
+    """
+    return hashutil.MultiHash.from_data(
         content,
-        algorithms=[ID_HASH_ALGO]
-    ).get(ID_HASH_ALGO)
+        hash_names=[ID_HASH_ALGO],
+    ).digest().get(ID_HASH_ALGO)
 
 
 class ObjStorage(metaclass=abc.ABCMeta):
diff --git a/swh/objstorage/objstorage_pathslicing.py b/swh/objstorage/objstorage_pathslicing.py
--- a/swh/objstorage/objstorage_pathslicing.py
+++ b/swh/objstorage/objstorage_pathslicing.py
@@ -1,4 +1,4 @@
-# Copyright (C) 2015-2017  The Software Heritage developers
+# Copyright (C) 2015-2018  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
@@ -259,8 +259,8 @@
                             break
                     f.rewind()
 
-                checksums = hashutil.hash_file(f, length,
-                                               algorithms=[ID_HASH_ALGO])
+                checksums = hashutil.MultiHash.from_file(
+                    f, hash_names=[ID_HASH_ALGO], length=length).digest()
                 actual_obj_id = checksums[ID_HASH_ALGO]
                 if obj_id != actual_obj_id:
                     raise Error(
diff --git a/swh/objstorage/tests/objstorage_testing.py b/swh/objstorage/tests/objstorage_testing.py
--- a/swh/objstorage/tests/objstorage_testing.py
+++ b/swh/objstorage/tests/objstorage_testing.py
@@ -1,12 +1,12 @@
-# Copyright (C) 2015-2017  The Software Heritage developers
+# Copyright (C) 2015-2018  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 time
 
-from swh.model import hashutil
 from swh.objstorage import exc
+from swh.objstorage.objstorage import compute_hash
 
 
 class ObjStorageTestFixture():
@@ -15,7 +15,7 @@
         super().setUp()
 
     def hash_content(self, content):
-        obj_id = hashutil.hash_data(content)['sha1']
+        obj_id = compute_hash(content)
         return content, obj_id
 
     def assertContentMatch(self, obj_id, expected_content):  # noqa
diff --git a/swh/objstorage/tests/test_multiplexer_filter.py b/swh/objstorage/tests/test_multiplexer_filter.py
--- a/swh/objstorage/tests/test_multiplexer_filter.py
+++ b/swh/objstorage/tests/test_multiplexer_filter.py
@@ -1,4 +1,4 @@
-# Copyright (C) 2015-2017  The Software Heritage developers
+# Copyright (C) 2015-2018  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
@@ -13,6 +13,7 @@
 from swh.objstorage import get_objstorage
 from swh.objstorage.exc import Error, ObjNotFoundError
 from swh.objstorage.multiplexer.filter import id_prefix, id_regex, read_only
+from swh.objstorage.objstorage import compute_hash
 
 
 def get_random_content():
@@ -29,7 +30,7 @@
                     'args': {'root': self.tmpdir,
                              'slicing': '0:5'}}
         base_storage = get_objstorage(**pstorage)
-        base_storage.id = lambda cont: hashutil.hash_data(cont)['sha1']
+        base_storage.id = compute_hash
         self.storage = get_objstorage('filtered',
                                       {'storage_conf': pstorage,
                                        'filters_conf': [read_only()]})
@@ -110,7 +111,7 @@
         self.base_storage = storage
         self.storage = self.filter_storage(self.sconf)
         # Set the id calculators
-        storage.id = lambda cont: hashutil.hash_data(cont)['sha1']
+        storage.id = compute_hash
 
         # Present content with valid id
         self.present_valid_content = self.ensure_valid(b'yroqdtotji')
@@ -295,13 +296,13 @@
         super().setUp()
 
     def ensure_valid(self, content):
-        obj_id = hashutil.hash_data(content)['sha1']
+        obj_id = compute_hash(content)
         hex_obj_id = hashutil.hash_to_hex(obj_id)
         self.assertTrue(hex_obj_id.startswith(self.prefix))
         return content
 
     def ensure_invalid(self, content):
-        obj_id = hashutil.hash_data(content)['sha1']
+        obj_id = compute_hash(content)
         hex_obj_id = hashutil.hash_to_hex(obj_id)
         self.assertFalse(hex_obj_id.startswith(self.prefix))
         return content