The 70 year-old boss believes that his rivals still have to navigate a potentially tricky away game against relegation-threatened QPR and that the league race is not yet over.
The club currently trails Roberto Mancini's side on goal difference, after the Citizens secured a huge victory of their own by beating Newcastle 2-0 away, but Sir Alex remains hopeful that his team can spring one final surprise when asked if he thought the title race was over.
"I've seen stranger things happen in this game of football," he told Sky Sports. "But I think the important thing is for us to go there [Sunderland away] in the right spirit, with the attitude to win the match, you never know, we'll just hope."
"It gives us hope, we've got next week, QPR need a point and you never know. I just wish Sparky [Mark Hughes] was playing."
United cruised to a comfortable and routine win in the club's final home game of the season and Sir Alex remained content with his side's display, despite failing to fully punish an out-of-sorts Swansea side with a more dominant scoreline.
"We did what we had to do and we won the match. I think that all the fans wanting us to score a lot of goals was a bit optimistic but we had a lot of chances, particularly in the first half where we played very, very well. In the second half, they slowed the game down and passed the ball around and they didn't really cause any bother.
"But they keep the ball and it becomes a defensive thing for them and becomes very strong for them and that's the secret to their game and they do it very well so it's hard to break down. But I'm pleased we won the match and I'm pleased they showed a good appetite for it, because it could have easily been one of those days when their heads are all down a bit but they weren't and they played with really good enthusiasm and I'm happy with that."
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