Quintin Rohrbaugh and Cody Farrell eached homered for UTA, and Jacob Moreland picked up the win in relief.
UT Arlington and No. 18 Louisiana cap the Sun Belt series at 1 pm Sunday.
UTA now 2-1 in extra-inning games on the season after 4-2 win in 10 innings at Troy.
UTA and ULM close the three-game series on Sunday at 1 p.m.
The win was UTA's 31st all-time and second of the season over a top-10 nationally-ranked program.