Spanish newspaper Marca reports that the Spanish giants are ready to send the midfielder out on loan.
Sahin has failed to make the expected impact at Real Madrid since joining the club from Borussia Dortmund last summer.
The 23-year-old has been linked with the likes of Arsenal, Tottenham, Liverpool, Manchester United and Besiktas.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.