Hazard is yet to start a game so far this season as he completes his recovery from an ankle injury sustained playing for Belgium in June.
Conte also revealed that Brazilian youngster Kenedy will feature against Forest while Charly Musonda is another player who will be involved in the League Cup game tomorrow as the Blues boss looks to give some of his fringe players a chance.
"Even after a week I think I had progressed with him", said Hazard.
"I hope to be with him at the final step from his injury".
However, Conte has now confirmed that the Belgian worldwide is ready to make his first start of the new campaign in their League Cup third round clash tomorrow night.
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Kenedy has not played since being sent home from Chelsea's pre-season tour of China following offensive social media posts. He made three appearances last season but Conte said he had a fresh start this season.
Hazard has claimed Conte improved him as a player within one week of becoming the permanent successor to now Manchester United manager Jose Mourinho. "Also I have a bit of experience about this situation".
"Our work is to try to improve every single player in tactical, physical, mental attributes", Conte added.
Kenedy has not played since being sent home from Chelsea's pre-season tour of China following offensive social media posts. He made a mistake but I think everyone in life makes mistakes.
After returning the west London club to the Champions League, Conte is now aiming to take the club to its third European trophy in six years, after Chelsea won the Champions League in 2012 and Europa League in 2013. "Now he's focused, working well, he understood his mistake. Now he's ready. He's ready to play and to show he deserves a space for the future".