Austin Ramljak had 10 points and Seth Gearhart made two free throws with seven seconds left in OT for the winning margin for the Owls (3-7). Quinton Pippen had a shot to tie for the Cougars (3-10), but his 3-pointer with two seconds left missed.
Jeremy Robinson scored 15 points and Jamere Dismukes 12 for Chicago State. Matt Ross had 13 rebounds.
Jackson went 0 for 4 from the field to fail to score in the opening half for the first time this season. He started the second half with a 3-pointer and finished 7 of 16 with three makes from behind the arc.
The Cougars dominated inside, outrebounding Rice 47-23 and owning a 32-14 scoring edge in the paint.