diff --git a/tox.ini b/tox.ini
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist=flake8,py3,mypy
+envlist=flake8,py3,mypy,integration
 
 [testenv]
 extras =
@@ -12,6 +12,12 @@
          {envsitepackagesdir}/swh/objstorage \
          --cov-branch {posargs}
 
+[testenv:integration]
+deps =
+allowlist_externals = docker
+commands =
+  docker run debian:bullseye date
+
 [testenv:black]
 skip_install = true
 deps =