Their most recent meeting away from Anfield came at Old Trafford in January 2011 when then-Kenny Dalglish’s Reds lost 1-0 after Ryan Giggs’ second-minute penalty and Steven Gerrard was sent off.
Liverpool have a wretched record at Old Trafford across all competitions and have only won there twice since April 2004, in 2009 and 2014, despite 19 Premier League, FA Cup, Carabao Cup and Europa League meetings.
The last two times Liverpool have beaten United in this competition they have gone on to reach the final, winning 1-0 at Anfield in 2006 before beating West Ham in Cardiff in the showpiece clash.
They reached the final again in 2012, only to lose to Chelsea at Wembley, after beating United 2-1 in the fourth round.
Whoever wins this tie will face either West Ham or Doncaster Rovers in the fifth round and will fancy their chances of making the last eight.
FA Cup fourth round draw in full
Cheltenham Town vs Manchester City
AFC Bournemouth vs Crawley Town
Swansea City vs Nottingham Forest
Manchester United vs Liverpool
Southampton/Shrewsbury Town vs Arsenal
Barnsley vs Norwich City
Chorley vs Wolves
Millwall vs Bristol City
Brighton and Hove Albion vs Blackpool
Wycombe Wanderers vs Tottenham Hotspur
Fulham vs Burnley
Sheffield United vs Plymouth Argyle
Chelsea vs Luton Town
West Ham United vs Doncaster Rovers
Brentford vs Leicester City
Everton vs Sheffield Wednesday
FA Cup fifth round draw in full
Fulham/Burnley vs Bournemouth/Crawley Town
Manchester United/Liverpool vs Stockport/West Ham/Doncaster
Sheffield United/Plymouth Argyle vs Millwall/Bristol City
Chorley/Wolves vs Southampton/Shrewsbury Town/Arsenal
Barnsley/Norwich City vs Chelsea/Luton Town
Everton/Sheffield Wednesday vs Wycombe Wanderers/Tottenham Hotspur
Swansea City/Nottingham Forest vs Cheltenham Town/Manchester City
Brentford/Leicester City vs Brighton and Hove Albion/Blackpool