Mourinho said after the game that United's rivals would have to suffer dramatic collapses for Moyes' team to reclaim the title.
"It's a 14-point difference. And 13. And 12. Can they recover to one of these teams? They can," Mourinho said. "But to recover to three of them, it needs three teams to have almost a collapse.
"For the title it will be difficult for them. What I hope to do is they beat all of them (Chelsea's rivals) to finish top four and they beat all of them."
Despite the logic of the Chelsea manager's comments, Moyes disagreed.
"We won't throw the towel in until we can't get there," the United manager said. "The job is to try and finish first. I will keep trying to do that.
"Before today we'd lost one in six in the league, and I didn't think there was a big difference between the teams today, not at all.
"The difference was our defending to set-pieces. Nothing else."
One reporter put it to Moyes that his team were in crisis.
Again, the Scot disagreed: "That's your opinion. Crisis is your word, not my word."
Moyes' afternoon went from bad to worse towards the end of the match when Nemanja Vidic was sent off for a bad challenge on Eden Hazard.
Rafael was guilty of an even worse two-footed challenge on Gary Cahill moments later, although the full-back connected with the ball rather than the player.
Luckily for the Brazilian, and Moyes, referee Phil Dowd only gave the right-back a yellow card.
"I thought Vidic wasn't a sending-off, but I've seen Rafa's and I think that could have been a sending off," Moyes added.