The game at Old Trafford kicks off at 19:55 GMT and is being shown live on BBC One in the UK.
It will already be known which team the victors will play in the competition’s fourth round, as the draw for the next stage takes place on Sunday afternoon.
ITV will broadcast the draw live at around 16:50 GMT, before Arsenal's visit to Championship side Nottingham Forest, with former England goalkeeper David James and current Arsenal Women captain Leah Williamson picking out the 32 balls to decide the 16 fourth-round fixtures.
Unless any games are postponed, United versus Villa should be the only tie not yet settled by Monday evening, with no replays in this year’s competition.