Davis entered his senior year on the watchlist for the Paul Hornung Award and rated the third-best safety prospect in the 2020 NFL Draft by ESPN analyst Mel Kiper. Davis was named a finalist for the Burlsworth Trophy. In the season finale against UCLA, Davis tied his single-game high in tackles with 8, including the last tackle of the game as part of a goal-line stand. Davis had 55 tackles, two interceptions, four passes defended, two forced fumbles and a fumble recovery in his senior season.
Davis was selected by the New York Jets with the 68th overall selection in the 2020 NFL Draft. The Jets previously traded defensive lineman Leonard Williams to the New York Giants to obtain the pick.