Scott Rogers' side will face the Londoners following their 3-0 win away at Chichester City Ladies on Sunday.
The tie is scheduled to be played on Sunday March 18.
Liverpool Ladies are back in Women's Super League action on Wednesday night when they host Sunderland at the Select Security Stadium in Widnes, with kick-off set for 7pm GMT.
Free video: Watch highlights from the win at Chichester City Ladies