Nutt says the suspensions were indefinite. The Rebels have just two games remaining. Both players are members of the Rebels' 2010 signing class out of Florida.
On Tuesday, Nutt made reference to needing to see "effort in the classroom" from the players.
Grimes had played in nine of the Rebels' 10 games. He started at cornerback in the Rebels' Oct. 2 win over Kentucky. Grimes has recorded 15 tackles and two pass breakups.
Jones, has played in just two games this year, recording one tackle.