The Bobcats (13-14, 7-11) move into a three-team tie for seventh place in the Sun Belt standings with two games left. The top eight teams advance to the conference tournament, which opens March 12. Arkansas State (11-16, 6-12) is a game back, with home games against South Alabama and Louisiana-Lafayette remaining.
Texas State took an 11-point lead in the first half and maintained it through the second.
Livingston finished with 20 points and 13 rebounds to lead Arkansas State.