Ander Herrera, who shadowed Hazard, set up Marcus Rashford for United's seventh-minute opener and netted the hosts' second goal with a deflected strike early in the second half.
While admitting he was "nervous" he might have conceded a penalty, he didn't think he was at fault for the goal in any way.
The Liverpool legend said: "No, I don't think it is".
"Chelsea is one of the best teams in the league this year, they play great and Eden (Hazard) is obviously a very special player, but we've played him and Chelsea this season and we won".
'We reacted after Palace, we bounced back with two wins so it's a similar thing.
"The result means we keep two windows open to play Champions League football", Mourinho said.
"We need to realise it is not over and we need to dig in now".
Mourinho has masterminded plenty of wins in big games down the years, but he usually does it with a defensive approach and by setting up with a team that, first and foremost, is very hard to break down.
"We have to try and if one day we are in the Europa League and in the Premier League the distance is too big, then we have to prioritise and nobody can criticise us if in the last matches of the league we do it in a different way".
Thousands march in Los Angeles to demand release of Trump tax returns
The issue of the president's no-show on his tax returns touches on a variety of accountability issues. If he DID release his tax returns I highly doubt that's enough to get him removed as President.
April. 17 (ANI): A resurgent Manchester United put up an unexpected brilliant performance as they defeated Chelsea 2-0 to breathe new life into the Premier League title race on Sunday at the Old Trafford.
The Belgian goalkeeper and team-mates Nemanja Matic, Asmir Begovic, Nathan Ake and Marcos Alonso were involved in the event which was organised by Chelsea and took place at the club's training ground in Cobham.
"It won't be easy because I think Tottenham now are the best team and they are in great form and they have a lot of enthusiasm".
"We lost two games". The former Juventus and Italy manager has urged his players to bounce back when they take on Tottenham in the cup tie on Saturday.
Chelsea expect Thibaut Courtois to be fit to return from injury in time for the FA Cup semi-final on Saturday.
April 17: Chelsea manager Antonio Conte has admitted that his side deserved to lose their Premier League clash against Manchester United as the latter showed more desire, more ambition and more motivation.
They ran out deserved winners and kept alive their hopes of a top-four finish.
"They are feeling the possibility to write history and it is important to know this".
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