 However, after just 24 games and 3 goals, in September 1969 he was part of an exchange deal in which Les Chapman moved to Leeds Road from Oldham Athletic and Shaw moved across the Pennines to join the Lancashire club.His speed off the mark and eye for a goal soon made him a favourite with the Boundary Park faithful, and his partnership with Jim Fryatt in the 1970–71 season, when he scored 23 goals and Fryatt scored 24, made a major contribution to the Oldham club's promotion from Division 4.His continued success over the next two seasons led to what was then a big-money transfer in March 1973, when he moved to West Bromwich Albion for a fee of £80,000.