The Times says Hazard has made up his mind and is now ready to engineer a move to Real this summer.
The Belgium international is fed-up playing in a negative system under manager Antonio Conte and wants out.
Hazard has so far refused to put pen to paper on a new deal with Chelsea, with the Blues willing to go as high as £350,000-a-week to convince him to stay.
After defeat at Manchester City, where Hazard was played alone upfront, he stated: "We could have played football for three more hours. And I would have hit zero shots. Voila. Only in the end we had the ball a bit more. I played the same role against Barcelona, but at least we still had chances. Nothing today."