diff --git a/swh/web/tests/api/views/test_metadata.py b/swh/web/tests/api/views/test_metadata.py
--- a/swh/web/tests/api/views/test_metadata.py
+++ b/swh/web/tests/api/views/test_metadata.py
@@ -1,10 +1,10 @@
-# Copyright (C) 2021  The Software Heritage developers
+# Copyright (C) 2021-2022  The Software Heritage developers
 # See the AUTHORS file at the top-level directory of this distribution
 # License: GNU Affero General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
 import attr
-from hypothesis import given
+from hypothesis import given, settings
 from hypothesis.strategies import composite, sampled_from, sets
 import pytest
 
@@ -73,6 +73,7 @@
 
 
 @pytest.mark.parametrize("limit", [1, 2, 10, 100])
+@settings(max_examples=2)
 @given(sets(raw_extrinsic_metadata(), min_size=1))
 def test_api_raw_extrinsic_metadata_scroll(api_client, subtest, limit, meta):
     # ensure archive_data fixture will be reset between each hypothesis
diff --git a/swh/web/tests/api/views/test_origin.py b/swh/web/tests/api/views/test_origin.py
--- a/swh/web/tests/api/views/test_origin.py
+++ b/swh/web/tests/api/views/test_origin.py
@@ -1,4 +1,4 @@
-# Copyright (C) 2015-2021  The Software Heritage developers
+# Copyright (C) 2015-2022  The Software Heritage developers
 # See the AUTHORS file at the top-level directory of this distribution
 # License: GNU Affero General Public License version 3, or any later version
 # See top-level LICENSE file for more information
@@ -6,7 +6,7 @@
 from datetime import timedelta
 import json
 
-from hypothesis import given
+from hypothesis import given, settings
 import pytest
 
 from swh.indexer.storage.model import OriginIntrinsicMetadataRow
@@ -70,6 +70,7 @@
     }
 
 
+@settings(max_examples=10)
 @given(new_origin(), visit_dates(3), new_snapshots(3))
 def test_api_lookup_origin_visits(
     api_client, subtest, new_origin, visit_dates, new_snapshots
@@ -125,6 +126,7 @@
             assert rv.data == expected_visits
 
 
+@settings(max_examples=10)
 @given(new_origin(), visit_dates(3), new_snapshots(3))
 def test_api_lookup_origin_visits_by_id(
     api_client, subtest, new_origin, visit_dates, new_snapshots