diff --git a/tests/tests.yml b/tests/tests.yml
index 893af8c..c39eb8a 100644
--- a/tests/tests.yml
+++ b/tests/tests.yml
@@ -13,6 +13,8 @@
     - cockpit
     - cockpit-tests
     - cockpit-dashboard
+    - cockpit-sosreport
+    - cockpit-storaged
     - podman
     tests:
     - smoke:
diff --git a/tests/verify.sh b/tests/verify.sh
index 6c61cc6..0e33a39 100755
--- a/tests/verify.sh
+++ b/tests/verify.sh
@@ -11,7 +11,7 @@ chcon -Rt container_file_t "$SOURCE" "$LOGS"
 
 # create user account for logging in
 if ! id admin 2>/dev/null; then
-    useradd admin -G wheel
+    useradd -c Administrator -G wheel admin
     echo admin:foobar | chpasswd
 fi
 
@@ -40,7 +40,16 @@ cp -a /source/test .
 npm install axe-core chrome-remote-interface sizzle
 
 export TEST_OS=fedora-32
-test/verify/check-menu -tv --machine \$HOST:22 --browser \$HOST:9090
+export TEST_AUDIT_NO_SELINUX=1
+
+# FIXME: Test{Accounts,Login}.testBasic don't get along with the existing root session (https://github.com/cockpit-project/cockpit/pull/13773)
+test/verify/check-accounts -tv --machine \$HOST:22 --browser \$HOST:9090 TestAccounts.{testRootLogin,testUnprivileged}
+test/verify/check-login -tv --machine \$HOST:22 --browser \$HOST:9090 TestLogin.{testExpired,testSELinuxRestrictedUser}
+
+# check-menu is not @nondestructive yet, keep it last
+for t in sosreport storage-basic menu; do
+    test/verify/check-\$t -tv --machine \$HOST:22 --browser \$HOST:9090
+done
 EOF
 
 # reset system changes from verify tests, for running this multiple times in a row