Kick off at Anfield will be 4:30pm and the match will be shown by broadcaster ESPN.
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.
Gus Poyet’s side are currently 11th in the Championship, just three points adrift of the play-off places. 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.
Updated FA Cup Fifth Round fixtures:
Sheff Wed v Blackpool Tue 7 Feb 19:45
Southampton v Millwall Tue 7 Feb 19:45
Middlesbrough v Sunderland Wed 8 Feb 19:45
Chelsea v Birmingham Sat 18 Feb 12:30
Everton v Blackpool/Sheff Wed Sat 18 Feb 15:00
Millwall/Soton v Bolton Sat 18 Feb 15:00
Norwich v Leicester Sat 18 Feb 15:00
Sund/M’boro v Arsenal Sat 18 Feb 17:15
Crawley v Stoke Sun 19 Feb 12:00
Stevenage v Tottenham Sun 19 Feb 14:00
Liverpool v Brighton Sun 19 Feb 16:30