Gem Palace, who beat Everton 4-0 and have always lost the opposition, play last year's beaten finalists Chelsea in the other game.
Liverpool needed to really buckle down against Nottingham Forest however in the long run advanced because of Diogo Jota's objective.
Chelsea won 2-0 at Middlesbrough on Saturday, while Manchester City got a 4-1 accomplishment at Southampton.
Carabao Cup victors Liverpool are pursuing a fourfold this year, while Premier League pioneers City are in the chase after a high pitch.
"We have Watford, Benfica, City, Benfica, City, [Manchester] United and Everton (after the global break)," said Liverpool chief Jurgen Klopp.
"According to a Liverpool viewpoint these are on the whole monstrous games and we attempt to play them each in turn and not all together.
"We knew before the game City would be the adversary to go to the last at any rate. Presently here we go.
"The further you go in whichever contest the more probable you will be you will confront City at a certain point.
"I don't think we are the fantasy draw for anybody, however it will be an extreme tie and we need to ensure it will be intense for City also.
"Yet, there are a ton of games to play before that."
The semi-last ties will both be held at Wembley on the few days of 16 and 17 April.
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