Hazard's future has been the subject of some speculation.
Hazard has been linked with a move away for much the campaign as his form has nose-dived, much like Chelsea's under former manager Jose Mourinho.
The Belgian currently has four years left on his contract, and the report also emphasises that Conte will look to revamp the squad in the summer.
It will be a boost for the incoming manager that Hazard wants to stick around at Stamford Bridge, even if he has yet to find the net in the Premier League so far this season.
Conte will be hoping to get the kind of form out of Hazard that saw him win the Player of the Year award last season as Chelsea secured the Premier League title fairly comfortably.
Hazard has also had his fair share of injury problems of late, with groin and hip problems said to have kept him out of the side, as the club has struggled to climb above their current 10th place in the Premier League and will finish the season without silverware.
Conte will be hoping to get Hazard firing in around 15 goals in all competitions next season, and playing a key part in their attacking play.