Rodriguez has been exiled at Real Madrid this term and is keen to move.
The Colombia ace, 25, has made just 15 La Liga appearances and only eight of those have been as starts.
James Rodriguez could be on his way to Old Trafford this summer
James Rodriguez was on the bench for Madrid against Bayern Munich last night
And online bookmaker 888sport believe he is Old Trafford-bound and have slashed their odds to 3/1, down from 5/1, on him joining Jose Mourinho.
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Arsenal and PSG are priced at 12s while Barcelona are 30/1 to be Rodriguez's next destination.
Rodriguez joined Madrid from Monaco after impressing at the 2014 World Cup in Brazil.
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The European champions appear open to selling him but have priced him at £60million as the look to raise funds in the hope of signing Eden Hazard and David De Gea.