He finished as the club's top goalscorer for four consecutive seasons, and helped them win promotion to the Second Division in 1963. Hunt made his debut for the England under-23 team on 2 June 1963 in a 1–0 defeat to their Romanian counterparts, the first of three caps he won at that level. Swindon were relegated at the end of the 1964–65 campaign, and Hunt left to join Wolverhampton Wanderers in September 1965, for a fee of £40,000, which was at the time Swindon's record transfer receipt. In all competitions, he scored 88 goals from 237 games for Swindon.