The 23-year-old forward made the breakthrough in the 56th minute after a tight first half, evading several attempted Hull tackles before finishing low past Tigers goalkeeper Allan McGregor.
The club wants to keep him. Obviously the manager is behind the club with that decision
Fernando Torres, making his 200th Premier League appearance, scored his second goal in as many top-flight games for the first time since December 2012 to wrap up the win with three minutes remaining.
Hazard, who joined Chelsea in 2012, has been heavily linked with cash-rich Ligue 1 champions PSG in recent days, but Mourinho reiterated that the Blues midfielder won’t be leaving the club.
“The club isn’t going to sell,” Mourinho told BT Sport.
“The club wants to keep him. Obviously the manager is behind the club with that decision because every manager wants players like him.”
He added: “As I was saying yesterday, I cannot too much pressure on him to be the man-of-the-match every game or the man to open the score.
“What I expect from him is the motivation and commitment that he is showing.
“You saw last year a talented Hazard. But this season, you are watching a much more mature player with more responsibility.
“He’s getting man-of-the-match regularly and probably deserves more than that – player of the month because I see other guys getting that and they don’t do half of what he is doing.”
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