Liverpool saw off Fulham in the Carabao Cup semi-finals to set up a showdown with Chelsea in the final at Wembley on 25 February.
The Reds led 2-1 from the first leg and their draw at Craven Cottage was enough to get the job done.
Both sides are in FA Cup fourth-round action this weekend, with Fulham hosting Newcastle on Saturday and Liverpool at home to Norwich on Sunday.
Chelsea booked their place at Wembley on Tuesday with a 6-1 win over Championship club Middlesbrough, who won the first leg 1-0.