After transferring mid-season, Burton had to sit out the first half of the 2015–16 season becoming eligible on December 19. During his 26 games and seven starts, Burton had an up and down season. He averaged 9.7 points and 3.9 rebounds and was able to secure 24 steals and 16 blocks. He was also named the Big 12 Newcomer of the Year. At the conclusion of the season Burton entered the NBA Draft for evaluation but ultimately withdrew his name.