Holders Chelsea will host Tottenham Hotspur in the Women's FA Cup quarter-finals.
Spurs beat London City Lionesses 9-8 on penalties in the final fifth-round tie on Monday, the match having finished 2-2 after extra time.
WSL 2 side Birmingham City welcome WSL leaders Manchester City, while Brighton will travel to 14-time FA Cup winners Arsenal.
Charlton Athletic, the WSL 2 leaders, will face top-flight strugglers Liverpool.
The fixtures are set to be played on Sunday, 5 April.
Six-time winners Chelsea reached the quarter-finals on Sunday by 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 Tottenham Hotspur
Arsenal v Brighton and Hove Albion
Birmingham City v Manchester City
- Chelsea, Arsenal and Man City into Women's FA Cup quarters
- Enderby hurt as Liverpool edge past Everton in cup derby
- Smith taken off on stretcher in Arsenal FA Cup win
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