Lee would serve as interim mayor for the last year of Gavin Newsom's term, the San Francisco Chronicle reported. Newsom was elected California lieutenant governor in November, but says he will not resign as mayor until the new board of supervisors is installed Saturday.
A second vote on Lee is scheduled Tuesday. The Chronicle said Lee appears certain to win that vote as well, since seven of the 10 supervisors who supported him are returning for new terms and the only one to vote against him is not.
The interim mayor will serve until January 2012.
Lee, a native of Seattle, has a law degree from the University of California at Berkeley. He has worked for the city since 1989, and Newsom appointed him this year to a second five-year term as administrator.