FA Women's Cup holders Arsenal host fellow Women's Super League One side Chelsea in the quarter-finals on Sunday, 12 April.
Elsewhere, Notts County host WSL 2 side Aston Villa and Birmingham City travel to Manchester City.
Charlton Athletic, the only third-tier side left in the draw, face the winner of Tuesday's fifth-round tie between WSL 2 side Everton and Bristol Academy.
The final on Saturday, 1 August will be held at Wembley for the first time.
It will also be shown live on the BBC.
Chelsea confirmed their place in the last eight with a 6-0 win over Watford, while Arsenal thrashed Millwall.
Birmingham City got past reigning WSL 1 champions Liverpool 3-1 to set up up a quarter-final against Nick Cushing's Manchester City side.
Either Everton, who lost to Arsenal in the 2014 final, or Bristol Academy - thrashed 5-0 by Frankfurt in the Champions League on Saturday - will complete the line-up for the last eight.
|FA Women's Cup quarter-final ties|
|Notts County v Aston Villa|
|Manchester City v Birmingham City|
|Everton/Bristol Academy v Charlton Athletic|
|Arsenal v Chelsea|