The Red Devils had been due to tackle the Bees on December 14, but the match had to be postponed due to a severe COVID-19 outbreak in Ralf Rangnick's squad.
The Premier League have now set a new date of January 19 for the contest, while Leicester City's match against Tottenham Hotspur will take place on the same night.
Man United's game against Brighton & Hove Albion was also postponed in December, but there has not yet been a new date set for the clash with Graham Potter's side.
The 20-time English champions are currently preparing for back-to-back matches against Aston Villa in the FA Cup and Premier League respectively.
Rangnick's side suffered a 1-0 defeat at home to Wolverhampton Wanderers on Monday evening, which left them in seventh spot in the Premier League table, four points off fourth-placed Arsenal with a game in hand. body check tags ::