What is twitter's policy on cookie login


For twitter apps that use oauth login, what is twitter’s policy on giving the user the option to “remember me on this browser”?

For instance, before clicking “sign-in with twitter”, the user checks a box to remember them, which uses ajax to set a session variable, so that after the user is logged in a cookie is set that allows the user to be automatically logged in whenever they visit the site. Provided no oauth tokens were stored in the cookie, is this allowed?