Holders Chelsea will host either Tottenham Hotspur or London City Lionesses in the Women's FA Cup quarter-finals.
WSL 2 side Birmingham City welcome WSL leaders Manchester City, while Brighton will travel to 14-time FA Cup winners Arsenal.
The final tie is WSL 2 leaders Charlton Athletic against WSL strugglers Liverpool.
The fixtures are set to be played on Sunday, 5 April.
Spurs and the Lionesses are playing the remaining fifth-round tie on Monday evening.
Six-time winners Chelsea reached the quarters-final on Sunday after beating Manchester United 2-1, thanks to an extra-time goal from defender Naomi Girma.
Women's FA Cup quarter-final draw
Charlton Athletic v Liverpool
Chelsea v London City Lionesses or Tottenham Hotspur
Arsenal v Brighton Hove Albion
Birmingham City v Manchester City
Ben Haines, Ellen White and Jen Beattie are back for another season of the Women's Football Weekly podcast. New episodes drop every Tuesday on BBC Sounds, plus find interviews and extra content from the Women's Super League and beyond on the Women's Football Weekly feed