The Reds will now welcome Leicester City to Old Trafford on the second day of the month for a 17:30 BST kick-off, with the clash being covered by Sky Sports.
The following weekend, on Sunday 9 April, United are at Everton for a 12:30 BST start against Frank Lampard's Toffees.
BT Sport will show the action live from Merseyside.
The Premier League has stated that the remaining fixtures in April will only be confirmed after the draw for the Emirates FA Cup quarter-finals has taken place on 3 March.
Ralf Rangnick's men are currently scheduled to face Norwich City at home on 16 April, travel to Arsenal a week later and then entertain Brentford at Old Trafford for the first time since 1975.