R.I. Gen. Laws § 28-30-5.1

In the event that a vacancy occurs in the office of the deputy administrator, the administrator, with the approval of a majority of the judges, shall appoint a duly qualified person to act as deputy administrator under the provisions of this chapter to fill the vacancy for the balance of the unexpired term; provided, further, that the person so appointed shall continue to fill the vacancy until his or her successor is duly appointed and qualified.