Evansville (11-8, 4-3 Missouri Valley) led most of the first half and had a 42-40 lead with 11:49 left in the game.
But a layup by Jake Kitchell with 10:56 remaining put Indiana State (12-6, 5-2) ahead to stay.
Indiana State had a 21-7 scoring advantage off the bench and a 28-18 edge in points in the paint.
Evansville had a 36-29 rebounding advantage.
The LSU TIgers didn't make much hay with Ben Simmons and now must regroup and rebuild around Antonio Blakeney and Craig VIctor.
Oregon could lose multiple players to the NBA next spring, so the Ducks are preparing by pursuing plenty of scorers and an elite frontcourt prospect.
Most of the first-round picks in the 2017 NBA draft haven't played a minute in a college game. Our recruiting experts identify the names to know.