It's also claimed Hazard is happy with the offer and will make it clear to Blues management that he wants the proposal accepted.
However, Chelsea owner Roman Abramovich still has hopes of keeping hold of Hazard - and intends to offer him a new contract.
Before victory at Huddersfield Town on Saturday, Blues manager Maurizio Sarri said of Hazard: "Hazard is with us. I think, definitely. Not a problem. I have spoken with him three or four times for everything. He never said something about the market, so I think he's very happy to stay here."