Jones, a redshirt junior, was already making his way back from an injury from the end of last season. He suffered a Lisfranc injury against Louisville that kept him out of the last two games of 2014 and all of spring practice.
Last year, Jones started 11 games and recorded 40 tackles, including 1 1/2 sacks. He added seven quarterback hurries, two blocked field goals and one forced fumble.
Notre Dame, ranked No. 4 in Sports Illustrated's preseason poll, opens the 2015 season on Sept. 5 against Texas.