Hazard, who joined Chelsea for £32 million from Ligue 1 outfit Lille in 2012, has spoken often about the dilemma he faces in re-signing for the Blues or taking his chances at Real.
According to the Daily Mail, the 27-year-old will become the highest-paid player in Chelsea's history if he puts pen to paper, but he wants to know Madrid's stance before committing.
Eden Hazard now has a contract with Chelsea which will expire in 2020, and according to Onda Madrid, Los Blancos' chiefs have agreed to sign him in the summer.
"I want him here, of course, but I want him here if he wants to stay here", Sarri said in a press conference.
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Chelsea hope their offer to make Eden Hazard the highest paid player in the club's history will finally fend off interest from Real Madrid.
"I know very well that there are discussions between the club and the manager of Eden every week".
"The club is willing to sign a new contract immediately, but it's up to him if he wants to renew or not".
The Belgian is one of the best players in the world, and it will be extremely tough to replace someone of Hazard's quality.