 Joicey started the 1971–72 season with Coventry but before the end of August he had joined Second Division Sheffield Wednesday.Wednesday manager Derek Dooley was interested in signing City's Dave Clements and watched him in a game, he was impressed with Joicey's performance in the same game and it resulted in both players joining Wednesday on 27 August for a combined fee of £100,000.Joicey made his first team debut for Wednesday four days later in an away match at Middlesbrough and scored his first goal on 4 September against Portsmouth.