In January 1998, Leaburn moved to Premier League side Wimbledon for a £300,000 fee. He made his debut as a substitute against Liverpool at Anfield on 10 January 1998. His first goals for his new club came when he scored twice away to Crystal Palace in a 3–0 win on 9 February 1998. This was perhaps the finest moment of his Wimbledon career as he had helped defeat rivals Crystal Palace in the "Landlords vs. Tenants" derby game at Selhurst Park. He went on to score twice more for Wimbledon in the 1997–98 season with strikes against Aston Villa and Southampton. However the 4 goals he scored for Wimbledon that season would be the only goals he would score in the league for the South London club. Leaburn's only other goal for the club came in a League Cup tie with Portsmouth in September 1998. His major contribution to Wimbledon was more in working hard to create goals for teammates, rather than scoring himself. His record of four goals in 58 league games does not do justice to either his work-rate or his popularity with fans, who greatly valued his enthusiasm and indefatigability. Leaburn stayed on at the Dons following their relegation from the Premier League in 2000, but he was eventually sold to Queens Park Rangers on 31 December 2001 where he played only one game against Reading before being released. He then dropped into non-League football with Grays Athletic where he scored nine times between December 2002 and May 2005 when he ended his football career.