diff --git a/swh/scheduler/backend.py b/swh/scheduler/backend.py
--- a/swh/scheduler/backend.py
+++ b/swh/scheduler/backend.py
@@ -377,6 +377,7 @@
         enabled: bool = True,
         lister_uuid: Optional[str] = None,
         timestamp: Optional[datetime.datetime] = None,
+        absolute_cooldown: Optional[datetime.timedelta] = datetime.timedelta(hours=12),
         scheduled_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=7),
         failed_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=14),
         not_found_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=31),
@@ -403,6 +404,15 @@
         where_clauses.append("visit_type = %s")
         query_args.append(visit_type)
 
+        if absolute_cooldown:
+            # Don't schedule visits if they've been scheduled since the absolute cooldown
+            where_clauses.append(
+                """origin_visit_stats.last_scheduled IS NULL
+                   OR origin_visit_stats.last_scheduled < %s
+                """
+            )
+            query_args.append(timestamp - absolute_cooldown)
+
         if scheduled_cooldown:
             # Don't re-schedule visits if they're already scheduled but we haven't
             # recorded a result yet, unless they've been scheduled more than a week
diff --git a/swh/scheduler/interface.py b/swh/scheduler/interface.py
--- a/swh/scheduler/interface.py
+++ b/swh/scheduler/interface.py
@@ -414,6 +414,7 @@
         enabled: bool = True,
         lister_uuid: Optional[str] = None,
         timestamp: Optional[datetime.datetime] = None,
+        absolute_cooldown: Optional[datetime.timedelta] = datetime.timedelta(hours=12),
         scheduled_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=7),
         failed_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=14),
         not_found_cooldown: Optional[datetime.timedelta] = datetime.timedelta(days=31),
@@ -435,8 +436,9 @@
           lister_uuid: Determine the list of origins listed from the lister with uuid
           timestamp: the mocked timestamp at which we're recording that the visits are
             being scheduled (defaults to the current time)
+          absolute_cooldown: the minimal interval between two visits of the same origin
           scheduled_cooldown: the minimal interval before which we can schedule
-            the same origin again
+            the same origin again if it's not been visited
           failed_cooldown: the minimal interval before which we can reschedule a
             failed origin
           not_found_cooldown: the minimal interval before which we can reschedule a
diff --git a/swh/scheduler/tests/test_scheduler.py b/swh/scheduler/tests/test_scheduler.py
--- a/swh/scheduler/tests/test_scheduler.py
+++ b/swh/scheduler/tests/test_scheduler.py
@@ -947,7 +947,9 @@
             expected=expected,
         )
 
-    @pytest.mark.parametrize("which_cooldown", ("scheduled", "failed", "not_found"))
+    @pytest.mark.parametrize(
+        "which_cooldown", ("scheduled", "failed", "not_found", "absolute")
+    )
     @pytest.mark.parametrize("cooldown", (7, 15))
     def test_grab_next_visits_cooldowns(
         self,
@@ -966,14 +968,22 @@
             expected=expected,
         )
 
-        # Mark all the visits as scheduled, failed or notfound on the `after` timestamp
+        # Mark all the visits as scheduled, failed or not_found on the `after` timestamp.
+        # If we're testing the `absolute_cooldown`, mark the visit as successful.
         ovs_args = {
             "last_visit": None,
             "last_visit_status": None,
             "last_scheduled": None,
+            "last_successful": None,
+            "last_snapshot": None,
         }
         if which_cooldown == "scheduled":
             ovs_args["last_scheduled"] = after
+        elif which_cooldown == "absolute":
+            ovs_args["last_visit"] = after
+            ovs_args["last_successful"] = after
+            ovs_args["last_visit_status"] = LastVisitStatus.successful
+            ovs_args["last_snapshot"] = b"\x00" * 20
         else:
             ovs_args["last_visit"] = after
             ovs_args["last_visit_status"] = LastVisitStatus(which_cooldown)
@@ -982,8 +992,6 @@
             OriginVisitStats(
                 url=origin.url,
                 visit_type=origin.visit_type,
-                last_snapshot=None,
-                last_successful=None,
                 **ovs_args,
             )
             for i, origin in enumerate(origins)
@@ -995,6 +1003,7 @@
             "scheduled_cooldown": None,
             "failed_cooldown": None,
             "not_found_cooldown": None,
+            "absolute_cooldown": None,
         }
         cooldown_args[f"{which_cooldown}_cooldown"] = cooldown_td