The Seagulls caused the biggest upest in round four when the beat Newcastle United at The Amex and will want revenge on Liverpool who knocked them out in the third round of the League Cup earlier this season.
Chelsea have been given a home tie against Championship side Birmingham City after their victory over QPR.
League Two Crawley Town who shocked Hull City on Saturday will host Premier League side Stoke, while League One high-flyers Stevenage welcome Tottenham Hotspur to Broadhall Way.
Everton will host the winners of the replay between Blackpool and Sheffield Wednesday whilst Norwich City will entertain Leicester City at Carrow Road.
The winners of the replay between Sunderland and Middlesbrough will be at home to the winners of Sunday's late game between Arsenal and Aston Villa.
The winners of the replay between Championship sides Millwall and Southampton will host Bolton Wanderers.
FA CUP FIFTH ROUND DRAW IN FULL*
|Liverpool v Brighton & Hove Albion
|Everton v Blackpool/Sheffield Wednesday|
|Chelsea v Birmingham City|
|Crawley Town v Stoke City|
|Stevenage v Tottenham Hotspur
|Norwich City v Leicester City|
|Sunderland/Middlesbrough v Arsenal/Aston Villa|
|Millwall or Southampton v Bolton Wanderers|
*Premier League teams highlighted in bold