Both were injured during the Hurricanes' scrimmage Friday in Fort Myers, Fla.
Coach Al Golden did not provide details to reporters Tuesday, but did say both players are expected back for the fall.
Holton, a redshirt senior, has played mostly on special teams. Golden said Tuesday that Green, a redshirt junior, was arguably the defense's most improved player.
"Shayon really went from being a tough, rugged guy to a guy who was making plays, had some luck, was healthy," Golden said. "I know it's a setback for him, but he's so tough. I think he'll overcome this. This is not a major deal."