Mourinho feels Hazard has completed the transition from "talented kid" to consistent Premier League match-winner.
"But he is not a talented kid any more. He is now more than that. He is a player who feels and accepts the responsibility, feels and accepts that a team player is more than a talented player and he has done it without losing his fantastic ability and fantastic talent.
"The kid is in a very good moment of his career."
Mourinho also made an early case for his man to receive individual recognition.
"Three consecutive times he is man of the match, which is something nice. Let's see if the Barclays Premier League decides to give him player of the month," he added.
"Maybe they don't like to go to Cobham because the kid is waiting but the trophy is not arriving."