A 1-0 victory over leaders Arsenal at Old Trafford saw them move to five points adrift of their visitors and prompted their title odds to come in from 8/1 to 9/2.
Tottenham's defeat at home to Newcastle on Sunday has seen them drift from 20/1 to 28/1 while Liverpool are in from 9/1 to 13/2 thanks to their 4-0 victory over Fulham on Saturday, with Luis Suarez the 9/4 favourite to be the Premier League's top goalscorer.
Robin van Persie, who scored the winner at Old Trafford, is now one behind Suarez with seven goals and can be backed at 9/2 for the golden boot.
Sky Bet Football Trader Chris Spicer said: "We've had to significantly reshape our title market following a weekend of upsets and plenty will be ruing not backing United at as long as 10/1, having suddenly propelled themselves back into the mix.
"Moyes' men are actually the second best backed side in our outright so it is fair to say plenty of punters refused to lose faith during their difficult start."