Sumlin has been at A&M for the past two seasons and makes $3.1 million a season.
TV analyst Jon Gruden, Boise State coach Chris Petersen, Vanderbilt coach James Franklin and Denver Broncos interim coach Jack Del Rio have been mentioned as possible successors to Kiffin.
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Sumlin, who has won 30 games the past 2 1/2 seasons at Houston and Texas A&M, is also mentioned as a possible candidate at Texas and is one of the hottest names in coaching. There could be a bidding war after the season and he might even draw interest from NFL teams.