Main article: College Football Playoff National Championship events, such as the Super Bowl or NCAA Final Four. The Tennessee Volunteers football program represents the University of Tennessee (UT) in the sport of American football. The Volunteers compete in the Football Bowl Subdivision (FBS) of the National Collegiate Athletic Association ( NCAA) and the Eastern Division of the Southeastern Conference (SEC). and their last national championship was in the college football season. Here's every college football champion from to the present day.