Courtois’ current Blues deal expires in 2019 while his Belgium international team-mate Hazard would be free to leave the Londoners a year later if no fresh terms are signed.
Conte, who clashed with the Chelsea hierarchy in the summer over recruitment and waved goodbye to transfer guru Michael Emenalo recently, sees the duo as integral to his plans.
He said: “I think the club knows very well the importance of these two players and I think they are very happy to play for this club.
“I hope that Thibaut will sign his contract. And Eden to sign as well before the World Cup? For sure, I will be very happy when they can have this deal.
“They are very young players and it will be great to keep them with us.”
Emenalo has since joined Ligue 1 side Monaco following his departure from the Bridge and the Blues are thought to be considering appointing his predecessor, Luis Campos, as his replacement.