Chelsea will face Tottenham in the carabao cup semi-finals, while Arsenal will face eight-time winner Liverpool.
This is already the second consecutive season for Spurs to reach the semi-finals of this competition, and Conte will lead the team against the Blues he has previously coached.
After eliminating West Ham, Conte said: "Getting to the semi-finals first is a very good thing for Tottenham. ”
"Looking at the teams that have reached the final four, you know that being able to achieve such results has a lot to do with the strength of the team."
'I remember when I was coaching Chelsea, everyone didn't think the trophy was unimportant, although a lot of young players would get a chance in this competition.
'Now I can see that it's not easy to get this trophy, we need to beat very good teams.
Jurgen Klopp's Reds were left behind and eventually eliminated Leicester City through penalties.
The semi-finals will be played in two rounds in early January, while the final will be played at Wembley Stadium on 27 February.