Boston Celtics (2022–2025)
Davison was selected with the 53rd overall pick by the Boston Celtics. On July 8, 2022, the Celtics signed him to a two-way contract. Under the terms of the deal he would split time between the Celtics and their NBA G League affiliate, the Maine Celtics. Davison made his NBA debut on November 11, 2022, in a 131–112 win over the Denver Nuggets.
On July 9, 2023, Davison signed another two-way contract with the Celtics.[12] Davison became an NBA champion when the Celtics defeated the Dallas Mavericks in 5 games in the NBA Finals. On July 8, 2024, he signed another two-way contract.[13]
On April 2, 2025, Davison was named the NBA G League MVP for the 2024–25 season.[14] He appeared in 30 games for Maine, posting averages of 25.1 points, 5.2 rebounds, and 7.5 assists per game. On April 12, Davison was converted to a standard, two-year contract with the Celtics.[15] He made 16 total appearances for the Celtics during the 2024–25 NBA season, averaging 2.1 points, 0.8 rebounds, and 0.9 assists. On July 24, Davison was waived by Celtics.[16]