Taylor (4-0) made his first start of the season and lowered his best-in-the nation ERA to 0.31 against TCU (43-11). The right-hander has allowed just two earned runs in 57 1/3 innings this season.
Scoring in each of the first four innings, the fourth-seeded Red Raiders (31-23) cruised to an 8-0 lead. Texas Tech scored seven runs off TCU starting pitcher Preston Morrison (11-2), the 2014 Big 12 Pitcher of the Year.
Morrison was tagged for seven hits in 3 1/3 innings. He allowed solo homers to Gutierrez and Michael Davis, who had three hits.
Texas Tech will play the loser of the Texas-Baylor contest in an elimination game on Friday.