The draw means that one English team is certain to make it through to the semi-finals of the competition, last won by the Reds 13 years ago.
Anfield will play host to the first leg of the tie on April 3 or 4, with the Premier League champions-elect hosting the decider a week later – a few days after they potentially secure the title in a match against rivals Manchester United.
Elsewhere, Barcelona were drawn against Roma, while Sevilla will face off against German champions Bayern Munich.
The final encounter will be a replay of last season’s final as defending champions Real Madrid – aiming for an unprecedented third consecutive title – take on Juventus.