The Cougars (5-12) trailed by as many as 10 points in the first half, then held off a late Eastern Michigan rally. After Jesse Bunkley's 3-point field goal with 44 seconds left brought the Eagles (4-8) to within 69-68, Walton split a pair of free throws to give the Cougars a two-point lead.
Bunkley led Eastern with 16 points, while Justin Dobbins added 15.
Eastern Michigan got to within 54-53 on Jarred Axon's 3-point field goal. But Chicago State scored seven straight points to extend its lead to eight.
Despite leading by as many as 10 points in the first half, Eastern Michigan led by only three at halftime, thanks to an 11-4 Chicago St. scoring run.
Can Josh Pastner keep top talent in Georgia? Will Tubby Smith change his recruiting philosophy at Memphis? New coaches face some difficult questions.
Former Michigan point guard Spike Albrecht will play for Purdue as a graduate transfer next season.
Only six major-conference teams have failed to win an NCAA tournament game since the turn of the century. When will each program snap the streak?