Submitting.
Mr Murray is currently head of elevation at the retail group, which also owns House of Fraser and Flannels, and has been tasked with modernising the business and creating a more upmarket image.
However, the report also said sources told the newspaper that the famously mercurial retail boss could still change his plans.
Mr Ashley has been one of the high street s most colourful characters since founding Sports Direct in 1982.
He has rapidly grown his retail operation in recent years, snapping up a number of distressed British brands including Evans Cycles, Jack Wills and Game.
The group is now worth around £3bn and operates almost 1,000 shops.
Newcastle United owner Mike Ashley to step down from top job at Frasers Group, reports claim chroniclelive.co.uk - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from chroniclelive.co.uk Daily Mail and Mail on Sunday newspapers.
Sports Direct billionaire Mike Ashley 'preparing to step down and hand control to future son-in-law' dailymail.co.uk - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from dailymail.co.uk Daily Mail and Mail on Sunday newspapers.