The Old Trafford encounter is to kick off at 16:30 GMT and will be broadcast live on BBC One and BBC iPlayer in the UK.
Ruben Amorim's Reds are looking to knock a third fellow Premier League team out of the competition, following victories over Arsenal and Leicester City in the previous rounds.
The clubs last met in the FA Cup in a stormy affair two years ago, when Fulham finished with nine men as United came from behind to win 3-1, thanks to two goals from Bruno Fernandes and a cheeky backheel by Marcel Sabitzer.