If neither side are involved in FA Cup Fifth Round replays then the fixture will go ahead at Stamford Bridge following last weekend's delay due to freezing conditions and snowfall.
Sir Alex Ferguson's team are already travelling to Marseille in the Champions League on February 23, followed by a trip to Wigan's DW Stadium three days later.
And after the Chelsea game United will then face Liverpool at Anfield in what should be a season-defining stretch of games.
Season-defining: Manchester United will travel to Marseille, Wigan, Chelsea and Liverpool in late February and early March
Ahead of last Sunday's postponement Ferguson had said that the fixture was the most important game of United's season so far - but by March the clash could have even more significance now.
The Scot, who turns 69 on New Year's Eve, had said: 'The Liverpool and United derby games have always been the biggest and now [Manchester] City have added to the fire.
'That game is now becoming very important because of the change at City with the owners, but in terms of significance, in terms of winning the League, the game on Sunday will go a long way to doing that, more than any other game.'
The rescheduled game will be shown live on Sky Sports.
Meanwhile, an announcement on Barcelona's website has revealed that United will play the Catalan giants in a friendly in Washington on July 30.
Although United are yet to confirm their pre-season plans for next summer, it was anticipated they would tour the United States once again.
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