In the other side of the draw Tottenham Hotspur will play Sheffield United, with the first leg at White Hart Lane.
Liverpool will welcome Chelsea to Anfield for the first-leg after Liverpool joined the Blues in the last four with a 3-1 away victory over Bournemouth.
Raheem Sterling, playing as a central striker, scored twice and Lazar Markovic bagged the other goal to put Liverpool in a commanding 3-0 lead in the second-half but the Championship league leaders struck back through Dan Gosling to make things nervy with half an hour to play.
Bournemouth gave an excellent account of themselves and could have had Liverpool really sweating if Gosling's curling effort from 18 yards found the net rather than the post shortly after his first strike.
In the end, Brendan Rodgers' side closed out the result and will play a Chelsea team full of confidence after they progressed past Derby County on Tuesday evening.
Andre Schurrle, Filipe Luis and Eden Hazard were the goalscorers in the 3-1 win in the East Midlands, although they were aided by a red card given to the opposition in the second half.
Sitting top of the Premier League and with a tie against Paris Saint Germain in the Champions League, the quadruple is still on for Jose Mourinho's squad.
Mourinho will insist he's taking each game as it comes, but that becomes more difficult as the fixtures pile up. Chelsea, with the team battling on four fronts, have the squad to cope but it will be fascinating to see how they get on.
Capital One Cup draw in full
Liverpool vs. Chelsea
Tottenham Hostpur vs. Sheffield United