The Tigers' senior starters came through strong in their final game at the PMAC, playing before a season-best crowd of 11,322. Ronald Dupree, Torris Bright and Collis Temple combined to score 40 points, and Dupree had 12 rebounds to go with his team-high 14 points.
Alabama (17-10, 7-9) played LSU to a 29-29 tie at halftime and held a four-point lead with 8:13 left in the game. But the Tigers closed with a 16-2 run that gave them a 10-point lead with under a minute to go.
The Crimson Tide connected on a couple of three-pointers before time ran out but could not deny LSU head coach his 100th career win as the Tigers' head coach.
"I am proud of our team because we got down by four late and found a way to come back and win," Brady said. "We executed down the stretch and defended extremely well. ...It was a great win for our team and our program."
Bright finished his final game at the PMAC with 13 points and six assists, and Temple closed with 13 points. Freshman Darrell Mitchell, who was 3-for-3 behind the arc, scored 11 points.
It was a 3-pointer from Mitchell that put LSU in front for good, 55-52, with 4:31 left. Dupree's dunk with 38 seconds remaining gave the Tigers their largest lead, 64-54.
A key for LSU defensively was containing All-SEC forward Erwin Dudley, who had been averaging 15 points a game. He ended up with seven on Saturday, with five coming in the final minute of play.
Maurice Williamson was Alabama's top scorer with 19 points.
"I thought Jaime Lloreda was the difference in the game," said Alabama coach Mark Gottfried. "He played great on both ends. Defensively, he did as well guarding Erwin as anybody all year. He had some great blocks and did a great job."