Eight-time winners Liverpool will face Arsenal in the Carabao Cup semi-finals.
In the other last-four fixture, Chelsea take on Tottenham.
The draw was conducted on Wednesday night after the quarter-final games were concluded.
Antonio Conte comes up against his former club as Spurs attempt to reach the final for the second successive season.
When asked about taking on Chelsea following Tottenham’s quarter-final win over West Ham, Conte told Sky Sports: “First of all it’s good for Tottenham to reach a semi-final in this competition.
“You can see the names of the teams that reach this semi-final – Liverpool, Arsenal and Chelsea with us. It means that every club wants to try and lift this trophy.
“I remember in the past when I was in Chelsea this trophy was not secondary. But it was used to play with young players and players that did not start in the XI.
“Now I’m seeing in England that to win a trophy is very difficult and we have to beat important teams.”