Scrimshaw began his cricket journey playing for Derbyshire, where he made his first-class debut in 2017. Known for his height and ability to generate bounce, Scrimshaw has shown promise as a fast bowler capable of troubling batsmen with pace and movement. He has played in various domestic competitions, including the T20 Blast, where he has impressed with his wicket-taking ability. In 2021, he moved to Worcestershire, further establishing himself as a key player in their bowling attack.