Liverpool and City are both primed to reach the last four after quarter-final first leg wins but Thomas Tuchel's Chelsea face a battle to join them.
The Blues will need to overturn a 3-1 defeat to Real Madrid that they suffered at Stamford Bridge following Karim Benzema's hat-trick.
However, Chelsea will meet Man City in the semi-finals if they progress as their two ties were drawn together for the last four.
Villarreal are up against Bayern Munich in the other quarter-final tie and currently boast a 1-0 advantage ahead of the second-leg.
And Liverpool look the most likely to face either of those teams after beating Benfica 3-1 in Lisbon.
Liverpool overcame Inter Milan with a 2-1 aggregate victory in the last-16, while City and Chelsea made light work of Sporting Lisbon and Lille respectively.
The Champions League semi-final dates are expected to take place on Tuesday 26 April and Wednesday 27 April for the first-legs.
The return fixtures will then be on Tuesday 3 May and Wednesday 4 May.
The final will take place at the Stade de France in Paris on May 28 after it was moved from St Petersburg following Russia's invasion of Ukraine.