Baylor beat Colorado 31-25, and now stands one win away from reaching the program's first bowl game since 1994.
Colorado had a chance late, but the Buffaloes final pass was batted down by Chance Casey to preserve the win.
Robert Griffin rushed for 137 yards on 15 carries, and running back Jay Finley added 143 on 14 carries, and a pair of touchdowns.
Baylor now needs to beat Kansas State in Waco next week to clinch a berth.
Colorado is a team sitting in the bottom third of the Big 12, but a conference road win is a conference road win. Baylor hasn't had too many of those in its history, but teams -- especially teams in the Big 12 South -- need some to reach a bowl game.
Now, Baylor has one.