FA Women's Cup holders Birmingham will face Liverpool in this year's semi-finals if they can beat 11-time winners Arsenal in round six on 14 April.
Liverpool and Lincoln, neither of whom have previously won the competition, are already through to the semi-finals which will be held on 28 April.
Bristol Academy host Everton in the sixth round on 14 April after the Toffees beat Oxford 7-0 in round five.
Lincoln await the winners of the Bristol-Everton match.
FA Cup semi-final draw:
Bristol Academy or Everton v Lincoln
Liverpool v Arsenal or Birmingham
Remaining sixth-round ties to be played on Sunday 14 April
Semi-final ties to be played on Sunday 28 April