Southern Illinois held on to a slim lead for much of the first period and took a 32-30 lead into the break. The Salukis outscored the Shockers 40-38 in the second half.
Wichita State (15-15, 8-10) never led, though they managed to tie the game four times.
Wichita State shot 47.3 percent from the floor, while Southern Illinois shot 51.3 percent. Both teams struggled from 3-point range, with the Shockers hitting just 5-of-16, and the Salukis sinking 6-of-14.