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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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