UTA erased a 2-0 deficit in the match, but a 15-12 5th set gave the match to Texas State.
UTA out-hit, out-dug and out-blocked Georgia Southern in the four-set win.
UTA has won four in a row in Arlington, including its first two Sun Belt matches.
UTA will return to action this weekend with matches against Georgia Southern and Little Rock.
UTA owned an 11-4 advantage in blocking in the four-set match against Arkansas State.