The draw for the last 16 stage of the competition took place after the Reds saw off Enzo Maresca’s side at Anfield, fighting back to win 3-1.
Liverpool were drawn away to Bournemouth.
A win would take the Reds beyond the point they reached last season when they were knocked out by Man City after the break for the World Cup in Qatar.
When is the match?
The fixtures for the fourth round of the League Cup will take place on either October 31 or November 1.
Liverpool have won the trophy more times than any other side and are searching for their 10th victory in the competition, having lifted it in 2021/22 following a penalty shootout win over Chelsea.
2023/24 League Cup schedule
Fourth round: W/C October 30
Quarter-finals: W/C December 18
Semi-finals first leg: W/C January 8
Semi-finals second leg: W/C January 21
Final: February 25, Sunday