With his contract expiring at the end of the season, Skuse signed a new one-year contract, with the option of an additional 12 months, on 18 May 2020, keeping him at the club until at least 2021. In October 2020, Skuse suffered a knee injury in training, with the injury expected to rule him of action for three months. After being out of action for five months due to injury, he made his first appearance of the season as a second-half substitute in a 1–0 home win over Plymouth Argyle on 13 March 2021.