LaCouture, a senior, missed all of the 2016 season with a knee injury that occurred during preseason practice.
In three previous seasons, LaCouture had played in 37 games with 23 starts, making 86 tackles, including eight for losses and four-plus sacks.
LaCouture says he is eager to play for LSU under the leadership of coach Ed Orgeron, who was his defensive line coach last season and was promoted to head coach after Les Miles was fired last September.
LaCouture says he was also impressed by the coaching of first-year defensive coordinator Dave Aranda, whose unit allowed just 16.4 points per game.
Having already graduated, LaCouture is now pursuing a master’s degree at LSU.