Moyes conceded after the game that his side's chances of a top-four finish had probably gone as a result of the defeat, and felt they may have caught Sunderland at the wrong time.
He said: "You could tell by the atmosphere in the ground. There was an incredible atmosphere around the stadium.
"Even when they were hanging on at 1-0, the crowd were willing them to make sure they didn't concede a goal.
"It's given them a bit of energy, the players, I'm sure the city and the club itself, and that was evident today."