The Reds beat Oldham Athletic 5-1 on Friday night to progress from the third round.
Luis Suarez will still be serving his ban, with the tie to be played the weekend of January 28th.
Patrice Evra will no doubt get a welcome reception at Anfield.
The two sides play again at Old Trafford in the League on February 11th.
Brighton or Wrexham v Newcastle
Sunderland v Middlesbrough
Dagenham & Redbridge v Southampton
Hull City v Crawley
MK Dons or QPR v Chelsea
West Brom v Norwich
Blackpool v Sheffield Wednesday
Arsenal or Leeds v Aston Villa
Stevenage v Notts County
Watford v Tottenham
Liverpool v Manchester United
Derby v Stoke City
Everton v Fulham
Macclesfield or Bolton v Swansea
Sheffield United v Birmingham or Wolves
Nottingham Forest or Leicester v Swindon