In 2015, Kamara transferred to the University of Tennessee to play under Butch Jones. As a redshirt sophomore, Kamara played in all 13 games in 2015. He accounted for 144 yards and two touchdowns in his Tennessee debut vs Bowling Green on September 5, 2015; his 144 rushing yards set school record for most rushing yards in a debut game. He became the second Vol in history with a rushing touchdown and punt return for touchdown in the same game with a 2-yard rushing TD and a 50-yard punt return TD vs. Western Carolina. In the entire 2015 season, he accounted for 698 yards (53.7 yards/game) with seven rushing touchdowns. He averaged 6.5 yards per carry, which was third in the SEC. He was second on team in receptions with 34 for 291 yards and three receiving touchdowns. As a punt returner, he had eight returns for 100 yards (12.5 average) with a touchdown. In 2016, Kamara has been a key contributor to each game so far in his redshirt junior season. In the 2016 Pilot Flying J Battle at Bristol, he had six touches for 34 yards and one touchdown in a win vs. Virginia Tech. He started his first career game at running back for the Vols in a win vs. Ohio on September 17. He had 79 all-purpose yards in win against Florida, including six yards on two carries, 12 yards on one reception and career highs of 61 punt-return yards and six punt returns. He had 138 all-purpose yards, including a receiving touchdown, in a 34-31 win against Georgia. He had a career game the following week in a loss against Texas A&M. He rushed for 127 yards and two rushing touchdowns, and had eight receptions for 161 yards and a receiving touchdown.