Holders City have the chance to defend the trophy with the resumption of the 2019/20 competition.
Gareth Taylor's side face the Foxes - the sole FA Women’s Championship representatives - in the last eight stage.
The game kicks off at 14:00 (UK) on Sunday 27 September and will be played at the Farley Way Stadium.
City reached the last eight stage with a pulsating 3-2 victory over Manchester United and a scintillating 10-0 win over Ipswich Town.
The Foxes meanwhile defeated Burnley and WSL outfit Reading.
City last met Leicester in the 2019/20 Continental Cup, producing a ruthless display to triumph 5-0.
Victory on Sunday would set up an intriguing home semi-final tie against either Tottenham or Arsenal on Thursday 1 October (7:15pm UK).
Available across all digital platforms - mancity.com, Man City app and Smart TV, CITY+ provides Cityzens with unrivalled access to new and exclusive City content.
It will allow you to watch full match replays of all men’s and women’s matches 24 hours after the final whistle and original CityTV productions, such as the recently released Kevin De Bruyne documentary, Made in Belgium.
You can sign up to a 30-day free trial, after which CITY+ is just £1.99GBP / month.
Find out more and sign up, here.