From Burn The Horse:

"AND ONES A UALR victory and a Western Kentucky loss to South Alabama on Thursday clinches a first-round bye for the Trojans in next week’s Sun Belt Tournament. … Louisiana-Lafayette remains alive for the fifth bye at next week’s Sun Belt Tournament because they can ultimately win a three-way tiebreaker with UALR and Western Kentucky if all three teams finish at 9-11. ULL would have to beat UALR and ULM, have UALR lose at home to ASU and have Western lose at home to South Al and Middle."

So it looks like Little Rock is pretty safe for the bye with a victory Thursday night. A loss Thursday makes things pretty iffy for a bye.