The Club World Cup Winners enjoyed long spells of possession and had to wait until the 83rd minute for the breakthrough when Carlos Tevez found the net from close range.
United were forced to make a late change with Jonny Evans replacing Rio Ferdinand who injured his back in the warm-up. He is expected to be out for around 10 days and they struggled to get their game together in the first half.
The Alex Ferguson's team pushed forward at the start of the second half and Tevez cut inside but Sorensen turned his effort around the post after 47 minutes.
Carlos Tevez scored his only second league goal of the campaign and he helped to United team to following up in the Premierleague.
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