The Edinburgh derby is on the cards with Hearts set to host Hibernian should the latter overcome Stirling University in their delayed third round tie.
Meanwhile, after Aberdeen pulled off a shock win over Spartans on Sunday, the SWFL 1 North leaders were rewarded with a home tie against Kilmarnock.
SSE Scottish Women’s Cup 4th Round – Sunday 25 August 2019
Queens Park v Dunfermline Athletic
Hamilton Academical v Clyde
Glasgow City v Dundee City
Aberdeen v FC Kilmarnock
Forfar Farmington v Rangers or Glasgow Girls
Hearts v Hibernian or Stirling University
Celtic v St Johnstone
Motherwell v Hutchison Vale or Inverness Caledonian Thistle