Adam Miller scored 15 points and Cockburn finished with 14 points and 11 rebounds. It was Cockburn’s 14th double-double in 34 career games and his second consecutive one.
Illinois shot 36 of 60 (60%) from the field and 7 of 18 (39%) from 3-point range.
Xavier Johnson led Chicago State (0-2, 0-0 Western Athletic Conference) with 10 points.
The tournament hasn’t been productive for the Cougars, a last-minute addition to the four-team tournament when Wright State pulled out due to COVID-19 concerns. Ohio beat them 86-61 on Wednesday.
Chicago State coach Lance Irvin has opted out of the season due to COVID-19 concerns.