On February 8, 2020, the Padres traded Driscoll and Manuel Margot to the Tampa Bay Rays in exchange for Emilio Pagán.
[5] Driscoll returned to action in 2021 with the rookie–level Florida Complex League Rays, Single–A Charleston RiverDogs, and High–A Bowling Green Hot Rods.
[6] Driscoll spent the 2022 season with Bowling Green, playing in 60 games and hitting .229/.340/.381 with seven home runs and 39 RBI.
[7] He split the 2023 campaign between the Double–A Montgomery Biscuits and Triple–A Durham Bulls, batting .263/.331/.414 with career–highs in home runs (12) and RBI (58) over 104 appearances.
[9] He made his MLB debut on September 3 against the Minnesota Twins, and logged his first career hit in the game, a single off of David Festa.