diff --git a/swh/scheduler/celery_backend/recurrent_visits.py b/swh/scheduler/celery_backend/recurrent_visits.py
--- a/swh/scheduler/celery_backend/recurrent_visits.py
+++ b/swh/scheduler/celery_backend/recurrent_visits.py
@@ -49,6 +49,18 @@
     "cvs": _VCS_POLICY_WEIGHTS,
     "bzr": _VCS_POLICY_WEIGHTS,
 }
+
+_GIT_TABLESAMPLE_VALUES = {
+    "already_visited_order_by_lag": 0.1,
+    "never_visited_oldest_update_first": 0.1,
+    "origins_without_last_update": 0.1,
+}
+
+POLICY_ADDITIONAL_PARAMETERS: Dict[str, Dict[str, Any]] = {
+    "default": {},
+    "git": {"tablesample": _GIT_TABLESAMPLE_VALUES},
+}
+
 """Scheduling policies to use to retrieve visits for the given visit types, with their
 relative weights"""
 
@@ -100,10 +112,17 @@
 
     fetched_origins: Dict[str, List[ListedOrigin]] = {}
 
+    additional_policy_parameters = POLICY_ADDITIONAL_PARAMETERS.get(
+        visit_type, POLICY_ADDITIONAL_PARAMETERS["default"]
+    )
+
     for policy, ratio in policy_ratio.items():
         num_tasks_to_send = int(num_visits * ratio)
         fetched_origins[policy] = scheduler.grab_next_visits(
-            visit_type, num_tasks_to_send, policy=policy
+            visit_type,
+            num_tasks_to_send,
+            policy=policy,
+            **{k: v.get(policy) for k, v in additional_policy_parameters.items()},
         )
 
     all_origins: List[ListedOrigin] = list(
diff --git a/swh/scheduler/tests/test_recurrent_visits.py b/swh/scheduler/tests/test_recurrent_visits.py
--- a/swh/scheduler/tests/test_recurrent_visits.py
+++ b/swh/scheduler/tests/test_recurrent_visits.py
@@ -11,7 +11,9 @@
 import pytest
 
 from swh.scheduler.celery_backend.recurrent_visits import (
+    _GIT_TABLESAMPLE_VALUES,
     VisitSchedulerThreads,
+    grab_next_visits_policy_weights,
     send_visits_for_visit_type,
     spawn_visit_scheduler_thread,
     terminate_visit_scheduler_threads,
@@ -132,6 +134,23 @@
         assert expected_record in set(records)
 
 
+@pytest.mark.parametrize(
+    "visit_type, tablesamples", [("hg", {}), ("git", _GIT_TABLESAMPLE_VALUES)]
+)
+def test_recurrent_visit_additional_parameters(
+    swh_scheduler, mocker, visit_type, tablesamples
+):
+    """Testing additional policy parameters"""
+
+    mock_grab_next_visits = mocker.patch.object(swh_scheduler, "grab_next_visits")
+    mock_grab_next_visits.return_value = []
+
+    grab_next_visits_policy_weights(swh_scheduler, visit_type, 10)
+
+    for call in mock_grab_next_visits.call_args_list:
+        assert call.kwargs.get("tablesample") == tablesamples.get(call.kwargs["policy"])
+
+
 @pytest.fixture
 def scheduler_config(swh_scheduler_config):
     return {"scheduler": {"cls": "local", **swh_scheduler_config}, "celery": {}}