City finished runners-up to Arsenal in the Super League and won the League and FA Cup double.
Champions Arsenal will host West Ham United and there is also a London derby for newly-promoted Tottenham Hotspur who travel to Champions League semi-finalists Chelsea.
The matches will take place during the international break in the men's game. The league is hoping there will be a boost in attendances, inspired by the England team's run to the women's World Cup semi-finals.
The Lionesses face world champions the United States in Lyon on Tuesday for a place in Sunday's final.
(Reporting by Christian Radnedge,; Editing by Ed Osmond)
