diff --git a/swh/provenance/tests/conftest.py b/swh/provenance/tests/conftest.py
index 7210fe0..db87dac 100644
--- a/swh/provenance/tests/conftest.py
+++ b/swh/provenance/tests/conftest.py
@@ -1,34 +1,57 @@
 # Copyright (C) 2021  The Software Heritage developers
 # See the AUTHORS file at the top-level directory of this distribution
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
 import glob
 from os import path
 
 import pytest
 
 from swh.core.db.pytest_plugin import postgresql_fact
 from swh.core.utils import numfile_sortkey as sortkey
+from swh.model.tests.swh_model_data import TEST_OBJECTS
 import swh.provenance
 
 SQL_DIR = path.join(path.dirname(swh.provenance.__file__), "sql")
 SQL_FILES = [
     sqlfile
     for sqlfile in sorted(glob.glob(path.join(SQL_DIR, "*.sql")), key=sortkey)
     if "-without-path-" not in sqlfile
 ]
 
 provenance_db = postgresql_fact(
     "postgresql_proc", db_name="provenance", dump_files=SQL_FILES
 )
 
 
 @pytest.fixture
 def provenance(provenance_db):
     """return a working and initialized provenance db"""
     from swh.provenance.postgresql.provenancedb_with_path import (
         ProvenanceWithPathDB as ProvenanceDB,
     )
 
     return ProvenanceDB(provenance_db)
+
+
+@pytest.fixture
+def swh_storage_with_objects(swh_storage):
+    """return a Storage object (postgresql-based by default) with a few of each
+    object type in it
+
+    The inserted content comes from swh.model.tests.swh_model_data.
+    """
+    for obj_type in (
+        "content",
+        "skipped_content",
+        "directory",
+        "revision",
+        "release",
+        "snapshot",
+        "origin",
+        "origin_visit",
+        "origin_visit_status",
+    ):
+        getattr(swh_storage, f"{obj_type}_add")(TEST_OBJECTS[obj_type])
+    return swh_storage
diff --git a/swh/provenance/tests/test_conftest.py b/swh/provenance/tests/test_conftest.py
index ce1190f..f45fe0b 100644
--- a/swh/provenance/tests/test_conftest.py
+++ b/swh/provenance/tests/test_conftest.py
@@ -1,9 +1,19 @@
 # Copyright (C) 2021  The Software Heritage developers
 # See the AUTHORS file at the top-level directory of this distribution
 # License: GNU General Public License version 3, or any later version
 # See top-level LICENSE file for more information
 
 
 def test_provenance_fixture(provenance):
+    """Check the 'provenance' fixture produce a working ProvenanceDB object"""
     assert provenance
     provenance.insert_all()  # should be a noop
+
+
+def test_storage(swh_storage_with_objects):
+    """Check the 'swh_storage_with_objects' fixture produce a working Storage
+    object with at least some Content, Revision and Directory in it"""
+    assert swh_storage_with_objects
+    assert swh_storage_with_objects.content_get_random()
+    assert swh_storage_with_objects.directory_get_random()
+    assert swh_storage_with_objects.revision_get_random()