Jones started Notre Dame's season opener against Georgia Tech, but was pulled before the end of the first half and had not played since. He did not join Notre Dame on its road trip to Michigan this weekend.
Northern Illinois officials declined to confirm that Jones had enrolled at the school.
Huskies coach Joe Novak said he's heard the report but has
had no contact with Jones, his family or other representatives.
On Friday, Notre Dame coach Charlie Weis confirmed that Jones did not make the team's bus trip to Michigan.
"I have not spoken to Demetrius and can only say that he missed the team bus. Any additional comment would be without all the facts," Weis said in a statement.
Against Georgia Tech, Jones was 1-of-3 passing for 4 yards and ran the ball 12 times for 28 yards. Four of the six drives he led ended in three-and-outs, and he fumbled the ball away on the other two possessions. Freshman Jimmy Clausen replaced Jones as Notre Dame's starter for last week's game at Penn State.
The departure is the second for a Notre Dame quarterback since this spring. Zach Frazer, who was eliminated from contention for the starting job after spring practice, transferred to Connecticut.
Joe Schad is a college football reporter for ESPN. Information from The Associated Press contributed to this report.