The Belgium international has two years remaining on his current contract at the West London club and has not yet committed to a new deal.
According to Transfermarketweb, Hazard has reportedly agreed to sign for Barca and will move in a £80million deal.
Hazard is currently at the 2018 World Cup in Russia with his country’s national team, Belgium where they will fight for the third-place playoff against England on Saturday afternoon.
The 27-year-old had publicly stated that he will not rule out a move away from Chelsea.
The forward had also called on Chelsea owner, Roma Abramovich to sign new players that can win the Premier League and Champions League next season before he will make his decision on whether to extend his stay at the Stamford Bridge or not.
Asked about the progress over a new deal at Chelsea, Hazard told reporters: “I’m waiting for new players next season. We’ll see.
“I want good players because I want to win the Premier League next season.“Yeah, [I have to think about] a lot of things, and then we will see. That’s why I’m taking my time. It’s something big.”He added: “I need two more trophies: Champions League and FA Cup. I think, to play Champions League next season is important. To win trophies also.“Trophies are important. FA Cup, League Cup, Premier League, Champions League. You know? And it’s more important for me because I’ve never won this one. That’s why I want to win.”