diff --git a/swh/objstorage/cloud/objstorage_azure.py b/swh/objstorage/cloud/objstorage_azure.py
--- a/swh/objstorage/cloud/objstorage_azure.py
+++ b/swh/objstorage/cloud/objstorage_azure.py
@@ -24,6 +24,16 @@
             account_key=api_secret_key)
         self.container_name = container_name
 
+    def get_blob_service(self, hex_obj_id):
+        """Get the block_blob_service and container that contains the object with
+        internal id hex_obj_id
+        """
+        return self.block_blob_service, self.container_name
+
+    def get_all_blob_services(self):
+        """Get all active block_blob_services"""
+        yield self.block_blob_service, self.container_name
+
     def _internal_id(self, obj_id):
         """Internal id is the hex version in objstorage.
 
@@ -32,28 +42,32 @@
 
     def check_config(self, *, check_write):
         """Check the configuration for this object storage"""
-        props = self.block_blob_service.get_container_properties(
-            self.container_name
-        )
+        for service, container in self.get_all_blob_services():
+            props = service.get_container_properties(container)
 
-        # FIXME: check_write is ignored here
-        return bool(props)
+            # FIXME: check_write is ignored here
+            if not props:
+                return False
+
+        return True
 
     def __contains__(self, obj_id):
         """Does the storage contains the obj_id.
 
         """
         hex_obj_id = self._internal_id(obj_id)
-        return self.block_blob_service.exists(
-            container_name=self.container_name,
+        service, container = self.get_blob_service(hex_obj_id)
+        return service.exists(
+            container_name=container,
             blob_name=hex_obj_id)
 
     def __iter__(self):
         """Iterate over the objects present in the storage.
 
         """
-        for obj in self.block_blob_service.list_blobs(self.container_name):
-            yield hashutil.hash_to_bytes(obj.name)
+        for service, container in self.get_all_blob_services():
+            for obj in service.list_blobs(container):
+                yield hashutil.hash_to_bytes(obj.name)
 
     def __len__(self):
         """Compute the number of objects in the current object storage.
@@ -78,8 +92,9 @@
         hex_obj_id = self._internal_id(obj_id)
 
         # Send the gzipped content
-        self.block_blob_service.create_blob_from_bytes(
-            container_name=self.container_name,
+        service, container = self.get_blob_service(hex_obj_id)
+        service.create_blob_from_bytes(
+            container_name=container,
             blob_name=hex_obj_id,
             blob=gzip.compress(content))
 
@@ -96,9 +111,10 @@
 
         """
         hex_obj_id = self._internal_id(obj_id)
+        service, container = self.get_blob_service(hex_obj_id)
         try:
-            blob = self.block_blob_service.get_blob_to_bytes(
-                container_name=self.container_name,
+            blob = service.get_blob_to_bytes(
+                container_name=container,
                 blob_name=hex_obj_id)
         except AzureMissingResourceHttpError:
             raise ObjNotFoundError(obj_id)
@@ -118,9 +134,10 @@
         """Delete an object."""
         super().delete(obj_id)  # Check delete permission
         hex_obj_id = self._internal_id(obj_id)
+        service, container = self.get_blob_service(hex_obj_id)
         try:
-            self.block_blob_service.delete_blob(
-                container_name=self.container_name,
+            service.delete_blob(
+                container_name=container,
                 blob_name=hex_obj_id)
         except AzureMissingResourceHttpError:
             raise ObjNotFoundError('Content {} not found!'.format(hex_obj_id))