Logan Vick homered twice and Trent Blank scattered seven hits over eight innings as Baylor beat Arkansas 8-1 on Saturday in the opener of their super regional series.
The Bears (49-15) can earn their first trip to the College World Series since 2005 with a win over the Razorbacks (42-20) on Sunday.
Josh Ludy added a home run, while Max Muncy and Cal Towey each had two doubles and a single as Baylor racked up 12 hits against three Arkansas pitchers.
The Bears gave Blank (11-1) an early lead when Razorbacks starter DJ Baxendale (7-5) hit Nathan Orf - the leadoff hitter's school-record 35th hit by pitch this season - and Vick followed with a two-run homer.
Ludy added insurance in the third with his team-high 16th homer. Muncy and Towey followed with doubles off the wall in right to make it 4-0.