Walcott was picked by the Rangers in fifth-round in 2014 but was traded to the Lightning for a seventh-round pick in 2015. Since then, Walcott has appeared in 239 games with the Syracuse Crunch (AHL) and set new career-highs in goals (7) and points (19) while playing in 55 games in 2019-20.

Walcott was originally selected in the fifth round by the Rangers in 2014 but has been with the Lightning organization since 2015-16. Walcott appeared in just five AHL games this season, missing 71 with a shoulder injury that he suffered with the Lightning at the beginning of the 2018 preseason.