The Mountain West has been in discussions with Gonzaga about joining the league, possibly by next season.
Mountain West commissioner Craig Thompson said Wednesday that he has spoken with six university presidents or athletic directors since August about joining the conference. Gonzaga was the only school he identified.
Air Force's basketball teams play in the Mountain West.
Gonzaga has dominated the West Coast Conference in basketball, winning 17 regular-season championships and 14 tournament titles since Mark Few became coach in 1999. The Zags reached the NCAA title game a year ago, losing to North Carolina.
A move to a larger conference would boost the competition Gonzaga faces during the conference season and help with seeding in the NCAA Tournament. No. 11 Wichita State made a similar move last year, leaving the Missouri Valley for the American Athletic.
Thompson did not mention BYU as one of the schools that could also join in basketball, but according to The San Diego Union-Tribune, multiple reports said BYU could entertain a potential return if Gonzaga were to join.
BYU was in the Mountain West from 1999-2011, but left to go independent in football and join the WCC in other sports.