Thomas Tuchel’s in-form side will face Pep Guardiola’s Citizens in the final four of the competition next month
Chelsea will face Manchester City in the FA Cup semi-finals, with Southampton facing Leicester in the other tie.
Both ties will be played at Wembley Stadium, with one on April 17 and the other on April 18.
The sides are playing for the right to take part in the 2021 final at Wembley on May 15.