His father Joe Dawson is an American basketball player who played in Israel for more than 20 years, and acquired Israeli citizenship upon his marriage.

He played in Hapoel Eilat youth teams until he was 15, before moving to live with his father and his younger brother, Tyler, in Rehovot, Israel.

On 14 October 2012, Dawson made his professional debut in a 70–54 win over Hapoel Gilboa Galil, scoring two points off the bench.

[8] On 29 January 2017, Dawson recorded a career-high 31 points, shooting 12-of-20 from the field, along with seven rebounds, three assists and six steals in a 92–93 loss to Hapoel Gilboa Galil.

[9] Dawson helped Rishon LeZion reach the 2017 Israeli League Final Four, where they eventually lost to Hapoel Jerusalem.

[10] On 6 December 2017, Dawson recorded a season-high 30 points, shooting 5-of-8 from three-point range, along with four rebounds and two assists in 87–83 win over Charleroi.

In July 2018, Dawson joined the Brooklyn Nets for the 2018 NBA Summer League,[13] where he averaged 11.2 points, 3.2 rebounds and 1.6 assists per game.

[17] On 30 October 2019, Dawson suffered another season-ending injury in his season debut, after he ruptured his achilles in a EuroCup match against Cedevita Olimpija.