Democratic Attorney General Ken Salazar says he'll resign on January fourth.
That's after he'll be sworn in as a U.S. Senator.
Salazar says he's working with Governor Owens and Democrats who control the state Senate to avoid a protracted battle over a successor.
That person will serve the last two years of his term.
Owens, a Republican, will appoint the successor, but the state Senate can confirm or reject the nomination.
Owens' spokesman, Dan Hopkins, says the governor also would like to avoid a fight.
Hopkins says Owens will consider Salazar's list of 30 acceptable successors, but isn't limited to the list and hasn't made any decisions.
Senate President-elect Joan Fitz-Gerald says Owens promised to consult with Senate Democrats but hasn't been in touch for two weeks.