Baylor had a 16-point lead erased just after halftime, but the Bears pulled away with a 13-2 run in the second half.
Austin was 11 of 19 from the field. Cory Jefferson added 10 points for Baylor (6-3), which snapped a two-game home losing streak.
Baylor led 35-19 in the first half before Lamar came back to tie it early in the second. Trailing 38-31 at halftime, Lamar outscored Baylor 11-4 to open the second half. Amos Wilson and Donley Minor had consecutive baskets to tie the game at 42 with 17 minutes remaining.
Baylor was up 58-55 before going on its 13-2 spurt.
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Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
|Stephen F. Austin||18-0||-||28-6|
|Sam Houston State||12-6||6||18-16|