After a close first half, Tennessee took over in the second and scored 24 points while keeping the Gamecocks out of scoring territory.
Tennessee looks to have a shot against a tough South Carolina team in Neyland, but the quarterback position remains a question.
The Volunteers played well, but could not keep up with Alabama in the end.
Tennessee will travel to Tuscaloosa on Saturday to play the top rated and undefeated Alabama Crimson Tide.
The Vols took down the Bulldogs on Saturday to secure their first SEC win of the season.
Coming off their most complete FBS game of the season, the Tennessee Volunteers will face the Mississippi State Bulldogs in Neyland on Saturday.