Marc Skinner's side are currently on a run of seven straight wins in all competitions, with no goals conceded in that time.
Third-tier Bridgwater United were overcome in Sunday's fourth round to keep that sequence going, with an own goal by Charlotte Buxton and a strike from Ella Toone securing safe passage to the next stage.
We will now play rivals Manchester City at home, in one of eight fifth-round fixtures that will take place on the weekend of Sunday 27 February 2022.
Gareth Taylor's side thrashed Nottingham Forest 8-0 at the City Ground on Saturday, with Georgia Stanway netting a hat-trick and becoming City's all-time record goalscorer in the process.