The 23-year-old is on the brink of finalising a new £200,000-a-week five-year contract - worth a total of £52 million - after stepping up talks with the west London outfit this week.
The Telegraph report that Hazard is now keen to conclude the deal after agreeing the final details of his new contract - and indicate that a public announcement could be made by Christmas.
Chelsea's new highest-paid player
Hazard will become the highest-paid player at Stamford Bridge once he puts pen-to-paper on the contract extension, which will keep him tied to the Blues until 2019.
That the world-class Belgium international has decided to commit his future to his current employers comes as a major boost to Chelsea and their manager Jose Mourinho, who has helped the former Lille star develop from a serious talent on the way up to the genuine article over the past 18 months.
Hazard's relationship with Mourinho
After Mourinho publicly criticised Hazard towards the end of last season speculation was rife that the winger could be tempted to leave Chelsea for pastures new in the summer.
However, the relationship between Hazard and Mourinho is now stronger than ever before. Chelsea are top of the league, thanks in part to their prized asset's superb performances this season: he already has nine goals from 21 appearances so far this term.
Potential Ballon d'Or winner
Mourinho is acutely aware that Hazard has the potential to cement his reputation as one of world football's best attacking wingers. This is a player who appears to be on course to challenge for the sport's most coveted individual accolades in the near future, including the prestigious Ballon d'Or award.
There were rumours that Real Madrid had identified Hazard as a potential long-term replacement for Cristiano Ronaldo. But, in order for Los Blancos to sign Chelsea's number 10, it would take a world-record bid to even tempt the Blues into selling their most dynamic attacking player - the man who sells shirts at Stamford Bridge.
Furthermore, Real Madrid have no reason to think about replacing Ronaldo yet. The Portuguese superstar, who turns 30 in February, appears to be getting better with age. This season he has already scored 32 goals from just 24 matches.
Real Madrid's reluctance to make a formal move for Hazard may have been another reason why the winger has agreed to commit his future to Chelsea.