diff --git a/ansible_mitogen/connection.py b/ansible_mitogen/connection.py
index dfc3aec4..48158265 100644
--- a/ansible_mitogen/connection.py
+++ b/ansible_mitogen/connection.py
@@ -419,7 +419,9 @@ CONNECTION_METHOD = {
     'ssh': _connect_ssh,
     'smart': _connect_ssh,  # issue #548.
     'su': _connect_su,
+    'ansible.builtin.su': _connect_su,
     'sudo': _connect_sudo,
+    'ansible.builtin.sudo': _connect_sudo,
     'doas': _connect_doas,
     'mitogen_su': _connect_mitogen_su,
     'mitogen_sudo': _connect_mitogen_sudo,