In 1984, he was signed by Oxford Cheetahs who bought him from King's Lynn for £12,000. The Oxford team had returned to the British League and the other signings to start as the top five riders for the season were Hans Nielsen for a record £30,000, Simon Wigg for £25,000, Marvyn Cox for £15,000 and Jens Rasmussen, with Ian Clark and Nigel Sparshott at 6 & 7. After a mid table finish in 1984 he was part of the Oxford team that won the league and cup double during a 1985 British League season. Taylor did not compete in the cup final because he left the team in late August to rejoin Mildenhall.
