Marca says Hazard, who has two years left on his Chelsea contract, has cast fresh doubt on his Stamford Bridge future by admitting it has been a dream of his to play for Real.
But contrary to recent reports, it will NOT happen in January.
Real Madrid are happy to wait until the end of the season when Hazard will have just 12 months remaining on his contract.
Blues owner Roman Abramovich want a massive fee for their talented Belgian international.
But Real are happy to wait with the prospect of forcing Abramovich to sanction a sale for a heavily reduced fee - in much the same way as Thibaut Courtois was sold for just £35million in August.