diff --git a/queue_job_cron_jobrunner/models/queue_job.py b/queue_job_cron_jobrunner/models/queue_job.py
index 28ed243e7c..3213d28d0b 100644
--- a/queue_job_cron_jobrunner/models/queue_job.py
+++ b/queue_job_cron_jobrunner/models/queue_job.py
@@ -36,7 +36,7 @@ def _acquire_one_job(self):
             FROM queue_job
             WHERE state = 'pending'
             AND (eta IS NULL OR eta <= (now() AT TIME ZONE 'UTC'))
-            ORDER BY date_created DESC
+            ORDER BY priority, date_created
             LIMIT 1 FOR NO KEY UPDATE SKIP LOCKED
             """
         )
@@ -55,7 +55,7 @@ def _process(self, commit=False):
         #       while the job is processing. However, doing this will release the
         #       lock on the db, so we need to find another way.
         # if commit:
-        #     self.flush()
+        #     self.env.flush_all()
         #     self.env.cr.commit()
 
         # Actual processing
diff --git a/queue_job_cron_jobrunner/tests/test_queue_job.py b/queue_job_cron_jobrunner/tests/test_queue_job.py
index 3f2e0ef637..54800b792c 100644
--- a/queue_job_cron_jobrunner/tests/test_queue_job.py
+++ b/queue_job_cron_jobrunner/tests/test_queue_job.py
@@ -67,5 +67,33 @@ def test_queue_job_cron_trigger_enqueue_dependencies(self):
 
         self.assertEqual(job_record.state, "done", "Processed OK")
         # if the state is "waiting_dependencies", it means the "enqueue_waiting()"
-        # step has not been doen when the parent job has been done
+        # step has not been done when the parent job has been done
         self.assertEqual(job_record_depends.state, "done", "Processed OK")
+
+    def test_acquire_one_job_use_priority(self):
+        with freeze_time("2024-01-01 10:01:01"):
+            self.env["res.partner"].with_delay(priority=3).create({"name": "test"})
+
+        with freeze_time("2024-01-01 10:02:01"):
+            job = (
+                self.env["res.partner"].with_delay(priority=1).create({"name": "test"})
+            )
+
+        with freeze_time("2024-01-01 10:03:01"):
+            self.env["res.partner"].with_delay(priority=2).create({"name": "test"})
+
+        self.assertEqual(self.env["queue.job"]._acquire_one_job(), job.db_record())
+
+    def test_acquire_one_job_consume_the_oldest_first(self):
+        with freeze_time("2024-01-01 10:01:01"):
+            job = (
+                self.env["res.partner"].with_delay(priority=30).create({"name": "test"})
+            )
+
+        with freeze_time("2024-01-01 10:02:01"):
+            self.env["res.partner"].with_delay(priority=30).create({"name": "test"})
+
+        with freeze_time("2024-01-01 10:03:01"):
+            self.env["res.partner"].with_delay(priority=30).create({"name": "test"})
+
+        self.assertEqual(self.env["queue.job"]._acquire_one_job(), job.db_record())