According to this Strib article, if Jones doesn't raise his ACT score on June 14th he won't be eligible. Given his current ACT score, he wouldn't have time to increase his GPA enough to become eligible. Sounds like June 14th is the big day.
"Jeff Jones improved his ACT score April 12, but the Minneapolis Washburn running back will need to improve it again June 14 to become academically eligible for the Gophers this fall, Washburn coach Giovan Jenkins said.
Jones, ranked by Rivals.com as the nation’s seventh-best running back recruit, had a rough year academically as a sophomore and has been trying to make up for it. The NCAA uses a sliding scale to determine eligibility, correlating grade-point average with ACT scores. Jenkins said Jones won’t have time to raise his GPA enough to qualify, based on his current ACT score."
http://www.startribune.com/sports/gophers/260042981.html