diff --git a/swh/search/journal_client.py b/swh/search/journal_client.py
--- a/swh/search/journal_client.py
+++ b/swh/search/journal_client.py
@@ -48,7 +48,6 @@
                     if isinstance(visit["origin"], str)
                     else visit["origin"]["url"]
                 ),
-                "has_visits": True,
             }
             for visit in visits
         ]
diff --git a/swh/search/tests/test_cli.py b/swh/search/tests/test_cli.py
--- a/swh/search/tests/test_cli.py
+++ b/swh/search/tests/test_cli.py
@@ -147,14 +147,14 @@
 
     swh_search.flush()
 
-    # Both search returns the visit
     actual_page = swh_search.origin_search(url_pattern="foobar", with_visit=False)
     assert actual_page.next_page_token is None
     assert actual_page.results == [origin_foobar]
 
+    # Not considered visited unless the visit is full
     actual_page = swh_search.origin_search(url_pattern="foobar", with_visit=True)
     assert actual_page.next_page_token is None
-    assert actual_page.results == [origin_foobar]
+    assert actual_page.results == []
 
 
 def test__journal_client__origin_visit_status(
diff --git a/swh/search/tests/test_journal_client.py b/swh/search/tests/test_journal_client.py
--- a/swh/search/tests/test_journal_client.py
+++ b/swh/search/tests/test_journal_client.py
@@ -34,7 +34,7 @@
 
     worker_fn({"origin_visit": [{"origin": {"url": "http://foobar.baz"},}]})
     search_mock.origin_update.assert_called_once_with(
-        [{"url": "http://foobar.baz", "has_visits": True},]
+        [{"url": "http://foobar.baz"},]
     )