The other semi-final is between Arsenal and Liverpool, with those two fixtures taking place on Thursday 6 January and Thursday 13 January.
All four fixtures will be broadcast live on Sky Sports in the UK.
Chelsea’s January schedule
Sunday 2 January – Chelsea vs Liverpool
Wednesday 5 January – Chelsea vs Tottenham, Carabao Cup semi-final first leg
Saturday 8 January – Chelsea vs Chesterfield, FA Cup third round
Wednesday 12 January – Tottenham vs Chelsea, Carabao Cup semi-final second leg
Saturday 15 January – Manchester City vs Chelsea
Sunday 23 January – Chelsea vs Tottenham