 Despite his good start, Allcock was unable to secure a regular first team spot at Burnden Park because he was competing against internationals Nat Lofthouse, Willie Moir and Harold Hassall for a place in the side.He signed for Norwich shortly before the transfer deadline in March 1958.In his first full season at Carrow Road, Norwich had one of the most famous FA Cup runs of all time when they reached the semi-finals as a third division side.