diff --git a/swh/deposit/api/common.py b/swh/deposit/api/common.py
--- a/swh/deposit/api/common.py
+++ b/swh/deposit/api/common.py
@@ -1117,7 +1117,7 @@
         headers: ParsedRequestHeaders,
         collection_name: str,
         deposit_id: int,
-    ) -> Dict[str, Any]:
+    ) -> None:
         """Routine to deal with updating a deposit in some way.
 
         Returns
@@ -1152,11 +1152,11 @@
     @abstractmethod
     def process_delete(
         self, request: Request, collection_name: str, deposit_id: int
-    ) -> Dict:
+    ) -> None:
         """Routine to delete a resource.
 
         This is mostly not allowed except for the
         EM_IRI (cf. .api.deposit_update.APIUpdateArchive)
 
         """
-        return {}
+        pass
diff --git a/swh/deposit/api/edit.py b/swh/deposit/api/edit.py
--- a/swh/deposit/api/edit.py
+++ b/swh/deposit/api/edit.py
@@ -3,8 +3,6 @@
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
-from typing import Any, Dict
-
 from rest_framework.request import Request
 
 from swh.deposit.models import Deposit
@@ -50,7 +48,7 @@
         headers: ParsedRequestHeaders,
         collection_name: str,
         deposit_id: int,
-    ) -> Dict[str, Any]:
+    ) -> None:
         """This allows the following scenarios:
 
         - multipart: replace all the deposit (status partial) metadata and archive
@@ -71,14 +69,11 @@
             - the provided xml atom entry is empty
             - the provided swhid does not exist in the archive
 
-        Returns:
-            204 No content
-
         """  # noqa
         swhid = headers.swhid
         if swhid is None:
             if request.content_type.startswith("multipart/"):
-                return self._multipart_upload(
+                self._multipart_upload(
                     request,
                     headers,
                     collection_name,
@@ -86,15 +81,17 @@
                     replace_archives=True,
                     replace_metadata=True,
                 )
-            # standard metadata update (replace all metadata already provided to the
-            # deposit by the new ones)
-            return self._atom_entry(
-                request,
-                headers,
-                collection_name,
-                deposit_id=deposit_id,
-                replace_metadata=True,
-            )
+            else:
+                # standard metadata update (replace all metadata already provided to the
+                # deposit by the new ones)
+                self._atom_entry(
+                    request,
+                    headers,
+                    collection_name,
+                    deposit_id=deposit_id,
+                    replace_metadata=True,
+                )
+            return
 
         # Update metadata on a deposit already ingested
         # Write to the metadata storage (and the deposit backend)
@@ -133,17 +130,10 @@
             deposit, parse_swhid(swhid), metadata, raw_metadata, deposit.origin_url,
         )
 
-        return {
-            "deposit_id": deposit.id,
-            "deposit_date": deposit_request.date,
-            "status": deposit.status,
-            "archive": None,
-        }
-
-    def process_delete(self, req, collection_name: str, deposit_id: int) -> Dict:
+    def process_delete(self, req, collection_name: str, deposit_id: int) -> None:
         """Delete the container (deposit).
 
            source: http://swordapp.github.io/SWORDv2-Profile/SWORDProfile.html#protocoloperations_deleteconteiner  # noqa
 
         """
-        return self._delete_deposit(collection_name, deposit_id)
+        self._delete_deposit(collection_name, deposit_id)
diff --git a/swh/deposit/api/edit_media.py b/swh/deposit/api/edit_media.py
--- a/swh/deposit/api/edit_media.py
+++ b/swh/deposit/api/edit_media.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 typing import Any, Dict, Optional, Tuple
+from typing import Dict, Optional, Tuple
 
 from rest_framework import status
 
@@ -35,7 +35,7 @@
 
     def process_put(
         self, req, headers: ParsedRequestHeaders, collection_name: str, deposit_id: int
-    ) -> Dict[str, Any]:
+    ) -> None:
         """Replace existing content for the existing deposit.
 
            source: http://swordapp.github.io/SWORDv2-Profile/SWORDProfile.html#protocoloperations_editingcontent_binary  # noqa
@@ -50,7 +50,7 @@
             )
             raise DepositError(BAD_REQUEST, msg)
 
-        return self._binary_upload(
+        self._binary_upload(
             req, headers, collection_name, deposit_id=deposit_id, replace_archives=True
         )
 
@@ -84,7 +84,7 @@
             self._binary_upload(req, headers, collection_name, deposit_id),
         )
 
-    def process_delete(self, req, collection_name: str, deposit_id: int) -> Dict:
+    def process_delete(self, req, collection_name: str, deposit_id: int) -> None:
         """Delete content (archives) from existing deposit.
 
            source: http://swordapp.github.io/SWORDv2-Profile/SWORDProfile.html#protocoloperations_deletingcontent  # noqa
@@ -93,4 +93,4 @@
             204 Created
 
         """
-        return self._delete_archives(collection_name, deposit_id)
+        self._delete_archives(collection_name, deposit_id)
diff --git a/swh/deposit/api/private/deposit_update_status.py b/swh/deposit/api/private/deposit_update_status.py
--- a/swh/deposit/api/private/deposit_update_status.py
+++ b/swh/deposit/api/private/deposit_update_status.py
@@ -3,8 +3,6 @@
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
-from typing import Dict
-
 from rest_framework.parsers import JSONParser
 
 from swh.model.identifiers import DIRECTORY, REVISION, SNAPSHOT, swhid
@@ -71,7 +69,7 @@
         headers: ParsedRequestHeaders,
         collection_name: str,
         deposit_id: int,
-    ) -> Dict:
+    ) -> None:
         """Update the deposit with status and SWHIDs
 
         Returns:
@@ -109,5 +107,3 @@
             deposit.status = status
 
         deposit.save()
-
-        return {}