diff --git a/.github/workflows/tox.yaml b/.github/workflows/tox.yaml
index 65c1f7f7..03481171 100644
--- a/.github/workflows/tox.yaml
+++ b/.github/workflows/tox.yaml
@@ -64,6 +64,10 @@ jobs:
             snap_install_flags: ""
             pip_constraints: constraints-juju34.txt
             juju3: 1
+          - juju_channel: 3.5/stable
+            snap_install_flags: ""
+            pip_constraints: constraints-juju35.txt
+            juju3: 1
     env:
       TEST_ZAZA_BUG_LP1987332: "on"  # http://pad.lv/1987332
     needs: build
diff --git a/constraints-juju35.txt b/constraints-juju35.txt
new file mode 100644
index 00000000..c9007ddf
--- /dev/null
+++ b/constraints-juju35.txt
@@ -0,0 +1,9 @@
+# NOTE: this constraints file can be (and will be) consumed by downstream users.
+#
+# Known consumers:
+# * zosci-config: job definitions that declare what juju version (snap channel)
+#   is used in tandem with this constraints file to lockdown python-libjuju
+#   version.
+# * zaza-openstack-tests
+#
+juju>=3.5.0,<3.6.0