Matt Beard's side will face Aston Villa, Blackburn Rovers, Sunderland and Sheffield United.
The group winners will qualify for the quarter-finals of the competition.
Liverpool FC Women's FA Women's Continental Tyres Cup dates
Aston Villa (H) – Wednesday October 13 – 7pm (Prenton Park).
Sheffield United (A) – Wednesday November 3 – 7.30pm (Chesterfield FC).
Blackburn Rovers (H) – Wednesday November 17 – 7pm (Prenton Park).
Sunderland (A) – Wednesday December 15 – 7.30pm (Eppleton Colliery).