Harris is No. 11 on the latest list of top 32 NFL draft prospects, as compiled by ESPN's Todd McShay.
"I wish we could have another year with Charles leading our program, but there's no question in my mind that he's ready for the next level," Tigers coach Barry Odom said in a statement.
Harris had nine sacks, 12 tackles for loss and 10 quarterback hurries in 2016, and was second on the team with 61 tackles.
He is seventh in Missouri history with 18 sacks and 12th with 34.5 tackles for loss.