The two sides have already faced each other in cup competition this season, when Liverpool won 2-1 at the Amex Stadium in the League Cup third round courtesy of goals from Craig Bellamy and Dirk Kuyt.
The match will take place on February 18th or 19th.
Gus Poyet’s side are currently 10th in the Championship, just four points adrift of the play-offs. They booked their place in the fifth round with a 1-0 victory over Newcastle United on Saturday evening.
Liverpool reached the fifth round by overcoming Man United at Anfield on Saturday.
FA Cup Fifth Round Draw:
Liverpool v Brighton
Everton v Blackpool or Sheffield Wednesday
Chelsea v Birmingham
Crawley Town v Stoke
Stevenage v Tottenham
Norwich v Leicester
Sunderland or Middlesbrough v Arsenal
Millwall or Southampton v Bolton