Oregon has reportedly offered Adams a scholarship.
Adams is a two-time runner-up for the Walter Payton Award, which is given to the top player in the FCS.
The dual-threat signal caller threw for 3,483 yards, 35 touchdowns and eight interceptions in 2014 despite missing four games because of a broken foot.
Adams is reportedly on track to graduate in June and would have immediate eligibility if he transfers.
Adams' high school coach, Dean Herrington, told the paper that the Longhorns and Bruins "want" Adams.
From the report:
Herrington, who has coached at Bishop Alemany in Mission Hills, California, for nine seasons, said he's fielded calls from the schools since Oregon's pursuit of Adams became well-known.
"They both want him," Herrington said in a phone interview, adding that he believes Adams' decision will nonetheless come down to the Ducks and Eagles.
Eastern Washington coach Beau Baldwin told The Spokesman-Review that Adams won't decide until next week at the earliest whether he will remain with the Eagles or transfer to Oregon.