diff --git a/swh/web/tests/conftest.py b/swh/web/tests/conftest.py
index a70b5a42..0212df2c 100644
--- a/swh/web/tests/conftest.py
+++ b/swh/web/tests/conftest.py
@@ -1,57 +1,58 @@
 # Copyright (C) 2018-2019  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 json
 import os
 
 from hypothesis import settings, HealthCheck
 
 # Register some hypothesis profiles
 
 settings.register_profile('default', settings())
 
 settings.register_profile(
     'swh-web',
     settings(deadline=None,
              suppress_health_check=[HealthCheck.too_slow,
                                     HealthCheck.filter_too_much]))
 
 settings.register_profile(
     'swh-web-fast',
     settings(deadline=None, max_examples=1,
-             suppress_health_check=[HealthCheck.filter_too_much]))
+             suppress_health_check=[HealthCheck.too_slow,
+                                    HealthCheck.filter_too_much]))
 
 
 def pytest_configure(config):
     # Small hack in order to be able to run the unit tests
     # without static assets generated by webpack.
     # Those assets are not really needed for the Python tests
     # but the django templates will fail to load due to missing
     # generated file webpack-stats.json describing the js and css
     # files to include.
     # So generate a dummy webpack-stats.json file to overcome
     # that issue.
     test_dir = os.path.dirname(__file__)
     static_dir = os.path.join(test_dir, '../static')
     webpack_stats = os.path.join(static_dir, 'webpack-stats.json')
     if os.path.exists(webpack_stats):
         return
     bundles_dir = os.path.join(test_dir, '../assets/src/bundles')
     _, dirs, _ = next(os.walk(bundles_dir))
     mock_webpack_stats = {
         'status': 'done',
         'publicPath': '/static',
         'chunks': {}
     }
     for bundle in dirs:
         asset = 'js/%s.js' % bundle
         mock_webpack_stats['chunks'][bundle] = [{
             'name': asset,
             'publicPath': '/static/%s' % asset,
             'path': os.path.join(static_dir, asset)
         }]
 
     with open(webpack_stats, 'w') as outfile:
         json.dump(mock_webpack_stats, outfile)