The game against Tottenham which was played at Stamford Bridge saw N’Golo Kante and Eden Hazard give the Blues a 2-0 lead before half-time. However, the tie was levelled on aggregate by Fernando Llorente just five minutes into the second half.
The semi-final proceeded to be decided via penalties with Tottenham losing out after Eric Dier and Lucas Moura missed their spot kicks.
Chelsea will now face Pep Guardiola’s side in the final which will be played at Wembley on February 24.
City qualified by beating Burton Albion 10-0 on aggregate.