Tottenham will host the first leg as they seek to avenge the 2015 final defeat they suffered at the hands of the Blues, when goals from man of the match John Terry and Diego Costa went without reply.
Holders City, meanwhile, will be confident of securing a return to Wembley after being drawn against League One outfit Burton, who progressed on Tuesday courtesy of a 1-0 win away at Middlesbrough.
A trio of Premier League clubs are left standing in the competition but at least one will be eliminated when Spurs – 2-0 winners at north London rivals Arsenal in the quarter-finals – take on Maurizio Sarri’s side, who edged Bournemouth 1-0 at Stamford Bridge.
Son Heung-min and Dele Alli provided the goals for Spurs at the Emirates Stadium on Wednesday, while Chelsea prevailed thanks to a late strike from Eden Hazard.
Pep Guardiola’s men battled through on penalties over Leicester City after drawing 1-1, a fine late strike from Marc Albrighton cancelling out Kevin De Bruyne’s opener to take the game to the spot.
The first legs will take place in the week commencing January 7 with the reverse fixtures held a fortnight later.