The draw for the FA Cup quarter-final was conducted on Wednesday night.
Liverpool could play fierce rivals Manchester United for a place in the semi-final, if they get past Southampton in the fifth round on Wednesday night.
United would also need to beat Nottingham Forest at the City Ground to set up the showdown.
Leicester City will travel to face the winners of the Chelsea and Leeds tie.
Coventry will play either Wolves or Brighton away from home.
The only confirmed tie drawn was holders Manchester City against Newcastle.
All four quarter-final ties will be played across the weekend of March 16 and 17
FA Cup quarter-final draw in full:
Wolves or Brighton vs Coventry
Nottingham Forest or Man Utd vs Liverpool or Southampton
Chelsea or Leeds vs Leicester
Man City vs Newcastle