In Baskerville's first season, 2018, he totaled 18 tackles, with 0.5 tackles going for a loss.[4] In week four of the 2019 season, Baskerville blocked a punt and returned it for a touchdown; he also returned an onside kick for 46 yards as he helped LSU beat Vanderbilt.[5] Baskerville finished the 2019 season with 15 tackles, four being for a loss, a sack, a pass deflection, a fumble recovery, and a touchdown.[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.[7][8] Baskerville finished the 2020 season with 55 tackles, 4.5 going for a loss, and a forced fumble.[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.[12][13] Baskerville finished the 2021 season with 83 tackles, nine going for a loss, two sacks, three pass deflections, and an interception.[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.[15] In week six, Baskerville had a career day, making 15 tackles against Tennessee.[16] Baskerville finished the 2022 season with 89 tackles, 4.5 being for a loss, one sack, eight pass deflections, one interception, and a touchdown.[17]
Baskerville finished his career at LSU with 260 tackles, 22.5 going for a loss, four sacks, 12 pass deflections, two interceptions, a forced fumble, a fumble recovery, and two touchdowns.[18]
After not being selected in the 2023 NFL draft, Baskerville signed with the Chicago Bears as an undrafted free agent.[21][22] He was waived on August 29, 2023 and re-signed to the practice squad.[23][24] The Bears flexed Baskerville to active roster on November 4, 2023. He signed a reserve/future contract on January 8, 2024.[25]
