With six games remaining, the result will give Tottenham belief it can lift the trophy at the end of May.
Conte said the home side showed more determination than his team and ex-Man Utd defender Neville suggested their manager also lacked the touchline passion that's been present all season.
The win extends fifth-placed United's unbeaten league run to 22 games and keeps them in the hunt for a Champions League spot with Mourinho seeing signs of progress from his squad. I wasn't able to do the right motivation.
I have a concern because we have to work together and find quickly the right ambition to win this title.
"I prefer to fight for the title instead of don't fight for the title and stay calm". We are lucky to have the pressure - last season Chelsea had no pressure as they were 10th place. "We are doing a great job, a miracle if you consider what happened last season".
"We all know you either go to the final or you don't, and so we must put 200 per cent to reach the final", he stressed. "Otherwise we deserve another thing".
Meanwhile, Jose Mourinho, Manchester United's manager was understandably chuffed yesterday, proclaiming that he had found a system to halt Chelsea's seemingly unstoppable march to the title.
Mourinho revels in Man Utd's Chelsea ambush
In other words the coach was simply unable to transfer the right concentration, ambition and desire to grasp the desired victory. The Brazilian converted a flick-on from Lucas Leiva to seal Liverpool's fifth win in their last seven games.
But this time United won 2-0 courtesy of goals early in each half from Marcus Rashford and Ander Herrera.
"The first reason is because with Liverpool and Manchester City victories, if we don't win today goodbye Premier League".
Premier League leaders Chelsea failed to register a shot on target as Man United sealed the home victory. They are named Chelsea, but they could be named Arsenal or Tottenham.
Mourinho reserved praise for referee Bobby Madley's performance, adding: "I don't want to, maybe because I win you think I'm going to say that because I win but it's not because I win, and this young referee makes me very happy".
Chelsea were 13 points clear when they beat Stoke City on 18 March and Conte said he had to take the blame for United's 2-0 win, admitting his players had not been focused or motivated enough to win.
United's big ambition this season is to qualify for the UEFA Champions League and there are still two ways of doing that, with the Reds now fifth in the Premier League and well-placed in the quarter-finals of the Europa League.
"We lost two games".
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