City will discover our last eight fate on Friday 28 May at approximately 12:30 (UK time) with the draw to be broadcast live on talkSPORT 2's Women's Football Weekly show.
Gareth Taylor's side are the current holders of the trophy, having lifted the FA Cup for the third time in four seasons in November with an extra-time victory over Everton at Wembley.
The quarter-final ties for the 2020/21 competition will take place on Wednesday 29 September.
To reach this stage, City defeated Aston Villa 8-0 at the Academy Stadium - with Chloe Kelly hitting a hat-trick - before triumphing 5-1 against West Ham on the final day of the season.
Seven of the eight Fifth Round ties have been completed, with Chelsea hosting Everton on Thursday evening in the final match of the round on the BBC Red Button at 19:00.
FA Women’s Championship title winners Leicester City, along with Charlton Athletic, join five teams from the Barclays FA Women’s Super League that have booked their place in the last eight, with the winner of Chelsea and Everton set to join them.
The Final at Wembley Stadium Connected by EE will be held on Sunday 5 December, kicking-off at 15:00 on BBC One, in what is the 50th year of the competition.
Ticket details will be announced in due course.
Brighton & Hove Albion
Chelsea or Everton
Quarter-finals: Wednesday 29 September 2021
Semi-finals: Sunday 31 October 2021
Final (50th anniversary): Sunday 5 December 2021, 15:00 (UK time)