Texas constitution
Article 16: general provisions
Section 17

(b) Following the expiration of a term of an appointive office that is filled by appointment of the Governor with the advice and consent of the Senate and that is not an office for which the officer receives a salary, the period for which the officer shall continue to perform the duties of office under Subsection (a) of this section ends on the last day of the first regular session of the Legislature that begins after the expiration of the term.