While we have, technically, transitional and permanent deacons, there is only one Holy Order and one rite of Ordination to the Diaconate. So in reality we only have deacons.
Some of them are to progress on to the priesthood, some are not, but there is nothing in canon law that says a “transitional” deacon must process onto the priesthood. The canon I provided explicitly stated that a man can not be forced to proceed from deacon to priest and that he should not be denied the exercise of the office of deacon unless there is a canonical impediment or some other grave reason to do so.
A deacon (transitional) must petition his ordinary (bishop or major religious superior) to be accepted into the priesthood, this does not mean it will be accepted. I know of cases in religious life where they have not be accepted and the man remains a deacon and acts as such (in one case it was just a short time and he re-petitioned and it was accepted).