diff --git a/swh/lister/github/lister.py b/swh/lister/github/lister.py
index 011ff3c..986f3d6 100644
--- a/swh/lister/github/lister.py
+++ b/swh/lister/github/lister.py
@@ -213,3 +213,10 @@ class GitHubLister(Lister[GitHubListerState, List[Dict[str, Any]]]):
         # the current run is higher than that stored in the database.
         if self.state.last_seen_id > scheduler_state.last_seen_id:
             self.updated = True
+
+    def set_state_in_scheduler(
+        self, with_listing_finished_date: bool = False, force_state: bool = False
+    ) -> None:
+        # github range lister should not override shared incremental lister state
+        if not self.relisting:
+            super().set_state_in_scheduler(with_listing_finished_date, force_state)
diff --git a/swh/lister/github/tests/test_lister.py b/swh/lister/github/tests/test_lister.py
index ba7e37e..20717fe 100644
--- a/swh/lister/github/tests/test_lister.py
+++ b/swh/lister/github/tests/test_lister.py
@@ -135,6 +135,7 @@ def test_relister(swh_scheduler, caplog, requests_mocker) -> None:
     # Check that the relisting mode hasn't touched the stored state.
     lister_data = get_lister_data(swh_scheduler)
     assert lister_data.current_state == {"last_seen_id": 123}
+    assert lister_data.last_listing_finished_at is None
 
 
 def test_anonymous_ratelimit(