diff --git a/swh/scheduler/tests/test_celery_tasks.py b/swh/scheduler/tests/test_celery_tasks.py
index accd1a0..6f9e2ab 100644
--- a/swh/scheduler/tests/test_celery_tasks.py
+++ b/swh/scheduler/tests/test_celery_tasks.py
@@ -1,90 +1,93 @@
 from time import sleep
 from celery.result import GroupResult
 from celery.result import AsyncResult
 
 import pytest
 
 from swh.scheduler.utils import create_task_dict
 from swh.scheduler.celery_backend.runner import run_ready_tasks
 
 
 def test_ping(swh_app, celery_session_worker):
     res = swh_app.send_task(
         'swh.scheduler.tests.tasks.ping')
     assert res
     res.wait()
     assert res.successful()
     assert res.result == 'OK'
 
 
 def test_multiping(swh_app, celery_session_worker):
     "Test that a task that spawns subtasks (group) works"
     res = swh_app.send_task(
         'swh.scheduler.tests.tasks.multiping', n=5)
     assert res
 
     res.wait()
     assert res.successful()
 
     # retrieve the GroupResult for this task and wait for all the subtasks
     # to complete
     promise_id = res.result
     assert promise_id
     promise = GroupResult.restore(promise_id, app=swh_app)
     for i in range(5):
         if promise.ready():
             break
         sleep(1)
 
     results = [x.get() for x in promise.results]
     for i in range(5):
         assert ("OK (kw={'i': %s})" % i) in results
 
 
+@pytest.mark.db
 def test_scheduler_fixture(swh_app, celery_session_worker, swh_scheduler):
     "Test that the scheduler fixture works properly"
     task_type = swh_scheduler.get_task_type('swh-test-ping')
 
     assert task_type
     assert task_type['backend_name'] == 'swh.scheduler.tests.tasks.ping'
 
     swh_scheduler.create_tasks([create_task_dict(
         'swh-test-ping', 'oneshot')])
 
     backend_tasks = run_ready_tasks(swh_scheduler, swh_app)
     assert backend_tasks
     for task in backend_tasks:
         # Make sure the task completed
         AsyncResult(id=task['backend_id']).get()
 
 
+@pytest.mark.db
 def test_task_return_value(swh_app, celery_session_worker, swh_scheduler):
     task_type = swh_scheduler.get_task_type('swh-test-add')
     assert task_type
     assert task_type['backend_name'] == 'swh.scheduler.tests.tasks.add'
 
     swh_scheduler.create_tasks([create_task_dict(
         'swh-test-add', 'oneshot', 12, 30)])
 
     backend_tasks = run_ready_tasks(swh_scheduler, swh_app)
     assert len(backend_tasks) == 1
     task = backend_tasks[0]
     value = AsyncResult(id=task['backend_id']).get()
     assert value == 42
 
 
+@pytest.mark.db
 def test_task_exception(swh_app, celery_session_worker, swh_scheduler):
     task_type = swh_scheduler.get_task_type('swh-test-error')
     assert task_type
     assert task_type['backend_name'] == 'swh.scheduler.tests.tasks.error'
 
     swh_scheduler.create_tasks([create_task_dict(
         'swh-test-error', 'oneshot')])
 
     backend_tasks = run_ready_tasks(swh_scheduler, swh_app)
     assert len(backend_tasks) == 1
 
     task = backend_tasks[0]
     result = AsyncResult(id=task['backend_id'])
     with pytest.raises(NotImplementedError):
         result.get()