Real Madrid are desperate to sign Hazard at the end of the season.
The Belgium international has been in stunning form for Chelsea, scoring 14 goals in 30 Premier League games.
The Blues are desperate to keep the 26-year-old amid interest from Zinedine Zidane's side.
However, Spanish outlet Don Balon claim Hazard has reached an agreement to join Real when the transfer window reopens.
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Eden Hazard has agreed to leave Chelsea for Real Madrid, reports claim
It is said the winger will be given a huge contract by the Spanish giants – earning similar wages to star duo Cristiano Ronaldo and Gareth Bale.
The report also says Hazard will wear the No 10 shirt next season and line up alongside Bale and Ronaldo in a three-pronged attack at the Bernabeu
Chelsea owner Roman Abramovich is demanding £85million for his star asset.
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But Hazard will instead move to the Bernabeu with £42m-rated Alvaro Morata moving in the opposite direction.
Express Sport understands Spain international Morata is Antonio Conte's top target for the summer.
Morata has endured a rocky first season back at the club since re-signing from Juventus last summer and a parting of the ways looks inevitable.