diff --git a/sql/updates/29.sql b/sql/updates/29.sql
--- a/sql/updates/29.sql
+++ b/sql/updates/29.sql
@@ -12,8 +12,12 @@
 alter table origin_visit_stats
 add column next_position_offset int not null default 4;
 
+alter table origin_visit_stats
+add column successive_visits int not null default 0;
+
 comment on column origin_visit_stats.next_visit_queue_position is 'Time at which some new objects are expected to be found';
 comment on column origin_visit_stats.next_position_offset is 'Duration that we expect to wait between visits of this origin';
+comment on column origin_visit_stats.successive_visits is 'number of successive visits with the same status';
 
 create table visit_scheduler_queue_position (
   visit_type text not null,
diff --git a/swh/scheduler/journal_client.py b/swh/scheduler/journal_client.py
--- a/swh/scheduler/journal_client.py
+++ b/swh/scheduler/journal_client.py
@@ -220,6 +220,8 @@
         # eventfulness
         last_visit_status, eventful = get_last_status(msg_dict, visit_stats_d)
 
+        increment_successive_visits = False
+
         # Update the position offset according to the visit status,
         # if we had already visited this origin before.
 
@@ -230,6 +232,10 @@
             visit_stats_d["next_position_offset"] = max(
                 0, visit_stats_d["next_position_offset"] + increment
             )
+            # increment the counter when last_visit_status is the same
+            increment_successive_visits = (
+                last_visit_status == visit_stats_d["last_visit_status"]
+            )
 
         # Record current visit date as highest known date (we've rejected out of order
         # messages earlier).
@@ -250,6 +256,11 @@
             queue_position_per_visit_type, visit_stats_d
         )
 
+        if increment_successive_visits:
+            visit_stats_d["successive_visits"] += 1
+        else:
+            visit_stats_d["successive_visits"] = 1
+
     scheduler.origin_visit_stats_upsert(
         OriginVisitStats(**ovs) for ovs in origin_visit_stats.values()
     )
diff --git a/swh/scheduler/model.py b/swh/scheduler/model.py
--- a/swh/scheduler/model.py
+++ b/swh/scheduler/model.py
@@ -226,6 +226,8 @@
     )
     next_position_offset = attr.ib(type=int, validator=type_validator(), default=4)
 
+    successive_visits = attr.ib(type=int, validator=type_validator(), default=0)
+
     @last_successful.validator
     def check_last_successful(self, attribute, value):
         check_timestamptz(value)
diff --git a/swh/scheduler/sql/30-schema.sql b/swh/scheduler/sql/30-schema.sql
--- a/swh/scheduler/sql/30-schema.sql
+++ b/swh/scheduler/sql/30-schema.sql
@@ -178,6 +178,7 @@
   next_visit_queue_position timestamptz,
   -- duration that we expect to wait between visits of this origin
   next_position_offset int not null default 4,
+  successive_visits	int not null default 0,
 
   primary key (url, visit_type)
 );
@@ -193,6 +194,7 @@
 
 comment on column origin_visit_stats.next_visit_queue_position is 'Time at which some new objects are expected to be found';
 comment on column origin_visit_stats.next_position_offset is 'Duration that we expect to wait between visits of this origin';
+comment on column origin_visit_stats.successive_visits is 'number of successive visits with the same status';
 
 create table visit_scheduler_queue_position (
   visit_type text not null,
diff --git a/swh/scheduler/tests/test_journal_client.py b/swh/scheduler/tests/test_journal_client.py
--- a/swh/scheduler/tests/test_journal_client.py
+++ b/swh/scheduler/tests/test_journal_client.py
@@ -171,6 +171,7 @@
             last_visit=visit_status["date"],
             last_visit_status=LastVisitStatus.not_found,
             next_position_offset=4,
+            successive_visits=1,
         ),
     )
 
@@ -206,6 +207,7 @@
             last_visit=DATE3,
             last_visit_status=LastVisitStatus.not_found,
             next_position_offset=6,
+            successive_visits=3,
         ),
     )
 
@@ -259,6 +261,7 @@
             last_visit=DATE3,
             last_visit_status=LastVisitStatus.failed,
             next_position_offset=6,
+            successive_visits=3,
         ),
     )
 
@@ -296,6 +299,7 @@
             last_visit=DATE2,
             last_visit_status=LastVisitStatus.failed,
             next_position_offset=5,
+            successive_visits=2,
         ),
     )
 
@@ -351,6 +355,7 @@
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("dddcc0710eb6cf9efd5b920a8453e1e07157bddd"),
             next_position_offset=0,
+            successive_visits=3,
         ),
     )
 
@@ -377,6 +382,7 @@
                 last_snapshot=visit_status["snapshot"],
                 next_visit_queue_position=None,
                 next_position_offset=4,
+                successive_visits=1,
             )
         ]
     )
@@ -388,6 +394,7 @@
     actual_origin_visit_stats = swh_scheduler.origin_visit_stats_get(
         [(visit_status["origin"], visit_status["type"])]
     )
+
     assert_visit_stats_ok(
         actual_origin_visit_stats[0],
         OriginVisitStats(
@@ -399,6 +406,7 @@
             last_snapshot=visit_status["snapshot"],
             next_visit_queue_position=None,
             next_position_offset=5,
+            successive_visits=1,
         ),
     )
 
@@ -463,13 +471,19 @@
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("d81cc0710eb6cf9efd5b920a8453e1e07157b6cd"),
         ),
-        ignore_fields=["next_visit_queue_position", "next_position_offset"],
+        ignore_fields=[
+            "next_visit_queue_position",
+            "next_position_offset",
+            "successive_visits",
+        ],
     )
 
     # We ignore out of order messages, so the next_position_offset isn't exact
     # depending on the permutation. What matters is consistency of the final
     # dates (last_visit and last_successful).
     assert 4 <= visit_stats.next_position_offset <= 5
+    # same goes for successive_visits
+    assert 1 <= visit_stats.successive_visits <= 2
 
 
 VISIT_STATUSES_1 = [
@@ -533,13 +547,19 @@
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("aaaaaabbbeb6cf9efd5b920a8453e1e07157b6cd"),
         ),
-        ignore_fields=["next_visit_queue_position", "next_position_offset"],
+        ignore_fields=[
+            "next_visit_queue_position",
+            "next_position_offset",
+            "successive_visits",
+        ],
     )
 
     # We ignore out of order messages, so the next_position_offset isn't exact
     # depending on the permutation. What matters is consistency of the final
     # dates (last_visit and last_successful).
     assert 2 <= visit_stats.next_position_offset <= 5
+    # same goes for successive_visits
+    assert 0 <= visit_stats.successive_visits <= 4
 
 
 VISIT_STATUSES_2 = [
@@ -680,6 +700,7 @@
             last_visit=DATE1,
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("aaaaaabbbeb6cf9efd5b920a8453e1e07157b6cd"),
+            successive_visits=1,
         ),
     )
 
@@ -725,6 +746,7 @@
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("aaaaaabbbeb6cf9efd5b920a8453e1e07157b6cd"),
             next_position_offset=4,
+            successive_visits=1,
         ),
     )
 
@@ -787,7 +809,11 @@
             last_visit_status=LastVisitStatus.successful,
             last_snapshot=hash_to_bytes("aaaaaabbbeb6cf9efd5b920a8453e1e07157b6cd"),
         ),
-        ignore_fields=["next_visit_queue_position", "next_position_offset"],
+        ignore_fields=[
+            "next_visit_queue_position",
+            "next_position_offset",
+            "successive_visits",
+        ],
     )
 
     # We ignore out of order messages, so the next_position_offset isn't exact