Runk, after the first victory, said: "Our kids did something a lot of people didn't think they could do by beating Virginia."
Duke beat Virginia, 2-1, during the regular season.
Tennessee beat Virginia in the second game by 78-51.
They have beaten Virginia eight consecutive times in the building affectionately known as the Deandome.
They beat Virginia in the first round and Illinois in the second.
The 1916-17 team barely managed to earn a winning record, but did manage to beat Virginia, which was considered a moral victory.
Georgia beat Virginia for the first time in 1916.
Saturday, the Wolfpack will play Duke, which beat Virginia, 60-48.
Tennessee, after an embarrassing 31-14 deficit at the half, found itself and beat Virginia, 52-46, on the Cavaliers' home court.
Earlier, Mississippi State beat Virginia, 86-84, for third place.