Hill, the senior quarterback back after missing one game with concussion-like systems, completed 26 of 36 passes for 325 yards and three touchdowns.
TCU quarterback Kenny Hill is probable to play after sitting out last week with an injury.
With less than three minutes left in the game, Smith threw an interception to Horned Frogs safety junior Markell Simmons. Get the app and get the game.
Baylor's defense provided an early spark as Lenoy Jones forced a Hill fumble on a blitz in the end zone. The Horned Frogs preceded to run out the clock with a mix of runs and short passes before the game ended at 45-22.
Baylor started the second half with a Nrewer INT and after that it was all TCU.
The Bears got that touchdown two plays later when Brewer and Blake Lynch connected on a 54-yard catch-and-run.
Baylor and TCU are set to kick off at 12:00 p.m. ET on FOX Sports 1.
The Bears fell behind 21-9, but closed out the first half with 10 straight points.
After getting the ball back, Brewer found freshman running back Trestan Ebner for a 58-yard touchdown, cutting the deficit to 21-16.