The former Spurs striker believes that the allure of one of the world's most historic clubs is simply too great to turn down, though would like to see the Welshman wait a year
The Spanish giants are expected to bring their lengthy pursuit of the 24-year-old Tottenham star to a successful conclusion before the end of the transfer window, with their online club shop already seen to offer shirts bearing his name.
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"I think it's just the lure of Real Madrid. I can't really see him staying to be honest," Keane remarked.
"I'd like to see him stay there, maybe for one more year, but it's Real Madrid - what do you expect? He's a young lad.
"It's the same opportunity that I had going to Inter - they don't come around very, very often. I took my chance. If Gareth takes his chance, if he goes or stays, I wish him well either way."
However, despite reports that a £93 million bid had been accepted by Tottenham, the clubs remain locked in negotiations. As revealed by Goal on Wednesday, the two clubs have yet to reach a formal agreement over the proposed transfer.