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
@@ -32,11 +32,11 @@
 
 
 def from_position_offset_to_days(position_offset: int) -> int:
-    """Compute position offset to interval in days.
+    """Compute position offset to interval in days. Bounds the position_offset to 10.
 
         - index 0 and 1: interval 1 day
         - index 2, 3 and 4: interval 2 days
-        - index 5 and up: interval `4^(n-4)` days for n in (4, 16, 64, 256, 1024, ...)
+        - index 5 and up: interval `4^(n-4)` days for n in [1:10].
 
     Args:
         position_offset: The actual position offset for a given visit stats
@@ -51,7 +51,8 @@
     elif position_offset < 5:
         result = 2
     else:
-        result = 4 ** (position_offset - 4)
+        exp = min(position_offset, 10)
+        result = 4 ** (exp - 4)
     return result
 
 
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
@@ -838,6 +838,8 @@
         (8, 256),
         (9, 1024),
         (10, 4096),
+        (11, 4096),
+        (12, 4096),
     ],
 )
 def test_journal_client_from_position_offset_to_days(position_offset, interval):