The Reds will be represented by ball number 8, after beating Watford 1-0 in the third round at Old Trafford with an early goal from Scott McTominay.
In a move designed to help clubs plan ahead in what is a condensed season due to the coronavirus pandemic, Monday night’s procedure will also determine United's potential opponents in the fifth round.
The draws are being held ahead of non-league Stockport County’s home tie against West Ham United, with live TV coverage beginning at 19:10 GMT on BT Sport and the FA Cup’s official social media channels. The Reds' fourth-round fixture will be announced as soon as possible on ManUtd.