Antonio Conte’s men qualified for the last four of the competition, after beating holders Manchester United 1-0 on Monday night at Stamford Bridge.
Spurs hammered Millwall 6-0 in their quarter-final clash on Sunday.
In the other semi-final match, Arsenal, who have won the competition twice in the last three years, will face Manchester City.
The Gunners crushed Lincoln City 5-0 in the previous round, while Pep Guardiola’s men beat Middlesbrough 2-0.
Both games will be played at Wembley.
Chelsea v Tottenham
Arsenal v Manchester City