Liverpool won 5-4 in the penalty shootout after coming from behind to draw 5-5 against Arsenal
Liverpool boss Jurgen Klopp says his side will not be able to play their Carabao Cup quarter-final if the fixture cannot be rearranged to avoid a clash with the Fifa Club World Cup.
The European champions beat Arsenal in a penalty shootout after a ten-goal fourth-round tie on Wednesday.
The quarter-finals are due to be played the week commencing 16 December.
Liverpool make a 7,000-mile round trip to Qatar to play in the semi-finals of the Club World Cup on 18 December.
The tournament is held every December and features seven teams from six confederations.
"If they don't find a place for us, an appropriate place, not 3am on Christmas Day, then we don't play it," said Klopp.