Acy had 16 points, eight rebounds and two big blocks in the closing moments for Baylor (9-3), playing its first game since dropping out of the AP Top 25 after two losses to unranked teams in Hawaii's Diamond Head Classic around Christmas. Walton added 13 points and six assists and forced a key turnover that snuffed out the Tigers' final bid.
Travele Jones had 21 points for Texas Southern (2-9), which fell to 0-6 all-time against the Bears.
Baylor closed the first half with a 15-3 run, much of it on free throws, to take a 25-22 lead at the break.
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Mississippi State freshman guard Malik Newman will withdraw from the NBA draft, but sources told ESPN he might explore other opportunities besides returning to Mississippi State.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.