The Reds will meet Everton away at Goodison Park in the week commencing 21 December.
Ole Gunnar Solskjaer's side secured a place in the last eight of the competition with Wednesday's 3-0 win over Brighton & Hove Albion at the Amex Stadium.
Although our two games so far in the Carabao Cup were separated by just seven days, the quarter-finals will not be played until just before Christmas.
We have now reached the quarter-finals of the competition 22 times, going on to win the trophy on five occasions (1992, 2006, 2009, 2010 and 2017) and finishing as runners-up in four other finals (1983, 1991, 1994 and 2003).