The publication even suggests that Marco Asensio could be part of the deal which would see Chelsea capitalise on a player they signed from Lille in 2012 for £32million.
That, together with the latest hint over his intentions, has increased the likelihood that he will officially inform the Blues that he wants to move to Real this summer.
The 28-year-old is rumoured to have been instructed to let his contract run down at Stamford Bridge to force Chelsea's hand, with Los Blancos keen to snap him up for less than the nine-figure sum their rivals are holding out for.
Hazard this week claimed he to have made a decision over his future, although did not go as far as to say that that decision was.
Sarri recently revealed he is not expecting a decision from Hazard over whether to extend his contract or seek a move away until the summer. Since admitting he has made a decision, the Belgian has attempted to keep English media guessing and could well continue to keep publicly sending out mixed messages. I hope he wants to stay here.
"I said a few weeks ago that I thought it was the beginning of the end after what we had seen at Chelsea, the win [over Huddersfield] doesn't change my mind".
Chelsea signed American global Christian Pulisic in a £58m deal from Borussia Dortmund in January, but he is expected to be a long-term replacement for either Pedro or Willian on Chelsea's right flank with both players in their 30s.
"I will wait for the right moment".