The Lady Tigers (13-6, 5-3 Southeastern Conference) trailed at halftime but used a 9-0 run for a 41-36 lead.
In the fourth quarter, Jackson hit three jump shots during an 8-0 burst that made it 53-43 with 6:55 left.
Jackson also had nine rebounds and four assists. Raigyne Louis added 18 points and nine rebounds for LSU and Ayana Mitchell had 16 rebounds.
LSU outrebounded Tennessee, the No. 4 rebounding team in the nation, 44-32 and held the Lady Vols nearly 23 points below their scoring average.
Mercedes Russell led Tennessee (17-4, 5-3) with 14 points and 10 rebounds. Mem Jackson added 13 points and Evina Westbrook had 10 points and seven assists.
Tennessee’s leading scorer, Jaime Nared, was hampered by foul trouble and had nine points in 22 minutes. It was the Lady Vols’ fourth loss in their past six games.