[6] In week ten of the 2020 season, Baskerville had a career performance tallying 12 tackles, one going for a loss, and a forced fumble, but LSU would fall to Texas A&M 20–7.
[9] In week seven of the 2021 season, Baskerville recorded his first career interception, which he returned 54 yards, as he helped the Tigers beat Florida 49–42.
[10][11] In week eleven, Baskerville had a performance that included racking up 12 tackles, 3.5 being for a loss, and two sacks, but LSU would lose versus Arkansas.
[14] In week two of the 2022 season, Baskerville picked off a pass and returned it 29 yards for a touchdown, as he helped LSU beat Southern.
[25] On August 10, 2024, in a preaseason match against the Buffalo Bills, Baskerville intercepted a pass by Shane Buechele for 56 yards and a touchdown.