Holders Manchester City face Bristol City in the Women's Continental Tyres Cup quarter-finals, as Chelsea host Liverpool and Reading go to Everton.
Arsenal - four-time winners of the cup, which began alongside the Women's Super League in 2011 - will host Sunderland.
After Wednesday's conclusion of the group stage, the draw separated the four group winners - Sunderland, Manchester City, Reading and Chelsea.
The ties will be played on either Saturday 16 or Sunday 17 December.
Only WSL 1 sides remain for the first knockout round, with all 20 of the clubs in WSL 1 and WSL 2 having been involved in the regionalised group stage.
Birmingham City - finalists last term - were one of two top-flight sides to be eliminated in the group stage, along with Yeovil Town.
Continental Tyres Cup quarter-final draw
Bristol City v Manchester City
Chelsea v Liverpool
Arsenal v Sunderland
Everton v Reading
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