Ashton McGee’s two-run single highlighted the four-run first inning that sent the top-seeded Tar Heels (45-17) into the tournament’s second weekend for the eighth time since 2006.
Bergner (6-1) allowed two runs on four hits in seven innings with three walks. Joey Lancellotti struck out three during the final two innings for his third save.
Alerick Soularie scored on a wild pitch in the second and added a run-scoring single in the fourth for the second-seeded Vols (40-21). Starter Zach Linginfelter (6-6) gave up four runs and didn’t make it out of the first inning.
Dylan Harris and Danny Serretti each drove in runs for the Tar Heels.
Earlier Sunday, Jake Rucker singled home the go-ahead run in the 10th inning after Tennessee escaped a bases-loaded jam in the ninth and the Vols edged Liberty 6-5 to stay alive.