France international is unhappy his team conceded possession too much and believes they need to up their game if the Premier League title is to remain at Old Trafford
"Maybe for the first time, we didn't control all the game," he told MUTV. "Five wins is a good start but I always want more. I'm happy to win but I hope in the next league game, against Stoke, we create more and not try to rush things."
United came out on top in a thrilling encounter, but the scoreline did not do full justice to a match in which both sides played incisive attacking football and spurned several glorious scoring chances.
The result also continues United’s 100 percent start to the Premier League season, but Evra believes the team’s performance still left a little to be desired.
"I think we tried to rush things and gave the ball away too easily," said Evra. "It's why I'm not so happy. I'm happy because there's a lot of positive things and we scored three times against Chelsea but, if we want to win the league and win every game, we have to perform better than on Sunday."
Having participated in numerous tense, close battles with Chelsea in recent years, Evra also admitted he was surprised to be part of such an event-filled game on Sunday.
"It was a great game to watch for the fans," he added. "But it's the first time I've played against Chelsea and seen an open game like that. It was a very funny game but, in the end, we won.
"We were lucky to be in front 3-0 at half-time so I said to the players: 'Forget the first half and try to play like a team in the second half.' It was like a boxing fight, I give you and you give me back. It was really strange."
The Frenchman also reiterated his belief that the Blues remain United’s principal opponents in the Premier League title race, despite Manchester City’s impressive start to the season.
"I have a lot of respect for Chelsea," he said. "People talk about City and us but I always say Chelsea are our most difficult opponents as you can see. They didn't come here just to defend but they attacked and looked to score goals and create chances. I couldn't believe the goal didn't go in from Fernando Torres. Maybe God was with us."