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
@@ -220,20 +220,22 @@
             The Deposit instance saved or updated.
 
         """
-        complete_date: Optional[datetime.datetime] = None
-
         if in_progress is False:
-            complete_date = timezone.now()
-            status_type = DEPOSIT_STATUS_DEPOSITED
+            self._complete_deposit(deposit)
         else:
-            status_type = DEPOSIT_STATUS_PARTIAL
+            deposit.status = DEPOSIT_STATUS_PARTIAL
+            deposit.save()
+
+        return deposit
 
-        # update metadata
-        deposit.complete_date = complete_date
-        deposit.status = status_type
+    def _complete_deposit(self, deposit: Deposit) -> None:
+        """Marks the deposit as 'deposited', then schedule a check task if configured
+        to do so."""
+        deposit.complete_date = timezone.now()
+        deposit.status = DEPOSIT_STATUS_DEPOSITED
+        deposit.save()
 
         if self.config["checks"]:
-            deposit.save()  # needed to have a deposit id
             scheduler = self.scheduler
             if deposit.status == DEPOSIT_STATUS_DEPOSITED and not deposit.check_task_id:
                 task = create_oneshot_task_dict(
@@ -245,9 +247,7 @@
                 check_task_id = scheduler.create_tasks([task])[0]["id"]
                 deposit.check_task_id = check_task_id
 
-        deposit.save()
-
-        return deposit
+            deposit.save()
 
     def _deposit_request_put(
         self,
@@ -834,9 +834,9 @@
             collection_name: the associated client
             deposit: deposit to be finalized
         """
-        deposit.complete_date = timezone.now()
-        deposit.status = DEPOSIT_STATUS_DEPOSITED
-        deposit.save()
+        self._complete_deposit(deposit)
+
+        assert deposit.complete_date is not None
 
         return Receipt(
             deposit_id=deposit.id,
diff --git a/swh/deposit/tests/api/test_deposit_schedule.py b/swh/deposit/tests/api/test_deposit_schedule.py
--- a/swh/deposit/tests/api/test_deposit_schedule.py
+++ b/swh/deposit/tests/api/test_deposit_schedule.py
@@ -11,7 +11,12 @@
 import pytest
 from rest_framework import status
 
-from swh.deposit.config import COL_IRI, DEPOSIT_STATUS_DEPOSITED
+from swh.deposit.config import (
+    COL_IRI,
+    DEPOSIT_STATUS_DEPOSITED,
+    DEPOSIT_STATUS_PARTIAL,
+    SE_IRI,
+)
 from swh.deposit.parsers import parse_xml
 
 
@@ -28,12 +33,32 @@
     return datetime.datetime.now(tz=datetime.timezone.utc)
 
 
+def assert_task_for_deposit(
+    swh_scheduler, deposit_id, timestamp_before_call, timestamp_after_call
+):
+    tasks = swh_scheduler.grab_ready_tasks("check-deposit")
+    assert len(tasks) == 1
+    task = tasks[0]
+
+    assert timestamp_before_call <= task.pop("next_run") <= timestamp_after_call
+    assert task["arguments"] == {
+        "args": [],
+        "kwargs": {"collection": "test", "deposit_id": deposit_id,},
+    }
+    assert task["policy"] == "oneshot"
+    assert task["type"] == "check-deposit"
+    assert task["retries_left"] == 3
+
+
 def test_add_deposit_schedules_check(
     authenticated_client, deposit_collection, sample_archive, swh_scheduler
 ):
-    """Posting deposit on collection creates a checker task
+    """Posting deposit by POST Col-IRI creates a checker task
 
     """
+    tasks = swh_scheduler.grab_ready_tasks("check-deposit")
+    assert len(tasks) == 0
+
     external_id = "external-id-schedules-check"
     url = reverse(COL_IRI, args=[deposit_collection.name])
 
@@ -59,17 +84,50 @@
     response_content = parse_xml(BytesIO(response.content))
     actual_state = response_content["swh:deposit_status"]
     assert actual_state == DEPOSIT_STATUS_DEPOSITED
-    deposit_id = response_content["swh:deposit_id"]
+    deposit_id = int(response_content["swh:deposit_id"])
+
+    assert_task_for_deposit(
+        swh_scheduler, deposit_id, timestamp_before_call, timestamp_after_call
+    )
+
+
+def test_update_deposit_schedules_check(
+    authenticated_client,
+    deposit_collection,
+    partial_deposit_with_metadata,
+    atom_dataset,
+    swh_scheduler,
+):
+    """Updating deposit by POST SE-IRI creates a checker task
+
+    """
+    deposit = partial_deposit_with_metadata
+    assert deposit.status == DEPOSIT_STATUS_PARTIAL
 
     tasks = swh_scheduler.grab_ready_tasks("check-deposit")
-    assert len(tasks) == 1
-    task = tasks[0]
+    assert len(tasks) == 0
 
-    assert timestamp_before_call <= task.pop("next_run") <= timestamp_after_call
-    assert task["arguments"] == {
-        "args": [],
-        "kwargs": {"collection": "test", "deposit_id": int(deposit_id),},
-    }
-    assert task["policy"] == "oneshot"
-    assert task["type"] == "check-deposit"
-    assert task["retries_left"] == 3
+    update_uri = reverse(SE_IRI, args=[deposit_collection.name, deposit.id])
+
+    timestamp_before_call = now()
+
+    response = authenticated_client.post(
+        update_uri,
+        content_type="application/atom+xml;type=entry",
+        data="",
+        size=0,
+        HTTP_IN_PROGRESS=False,
+    )
+
+    timestamp_after_call = now()
+
+    assert response.status_code == status.HTTP_200_OK
+
+    response_content = parse_xml(BytesIO(response.content))
+    actual_state = response_content["swh:deposit_status"]
+    assert actual_state == DEPOSIT_STATUS_DEPOSITED
+    assert deposit.id == int(response_content["swh:deposit_id"])
+
+    assert_task_for_deposit(
+        swh_scheduler, deposit.id, timestamp_before_call, timestamp_after_call
+    )