diff --git a/swh/deposit/tests/api/test_deposit_private_read_archive.py b/swh/deposit/tests/api/test_deposit_private_read_archive.py
--- a/swh/deposit/tests/api/test_deposit_private_read_archive.py
+++ b/swh/deposit/tests/api/test_deposit_private_read_archive.py
@@ -1,14 +1,16 @@
-# Copyright (C) 2017-2019  The Software Heritage developers
+# Copyright (C) 2017-2021  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 io
+from os.path import exists, join
 import zipfile
 
 from django.urls import reverse
 from rest_framework import status
 
+from swh.deposit.api.private.deposit_read import aggregate_tarballs
 from swh.deposit.config import EM_IRI, PRIVATE_GET_RAW_CONTENT
 from swh.deposit.tests.common import create_arborescence_archive
 
@@ -84,3 +86,10 @@
         assert set(zfile.namelist()) == {"file1", "file2"}
         assert zfile.open("file1").read() == b"some content in file"
         assert zfile.open("file2").read() == b"some other content in file"
+
+
+def test_aggregate_tarballs_with_strange_archive(datadir, tmp_path):
+    archive = join(datadir, "archives", "single-artifact-package.tar.gz")
+
+    with aggregate_tarballs(tmp_path, [archive]) as tarball_path:
+        assert exists(tarball_path)