The Reds will host the Bluesin the last eight next month, having progressed from the group stage with a perfect record of three wins from three.
Quarter-final ties are scheduled to be played across December 19/20/21.
Confirmed fixture and ticket details will be announced on Liverpoolfc.com in due course.
If Liverpool advance to the semi-finals, they will travel to either West Ham United or Manchester City in January.
Quarter-final draw
Liverpool v Chelsea
Crystal Palace v Arsenal
Manchester United v Tottenham Hotspur
West Ham United v Manchester City
Semi-final draw
Crystal Palace or Arsenal v Manchester United or Tottenham Hotspur
West Ham United or Manchester City v Liverpool or Chelsea
