As is the norm at this stage of the competition, the tie will be played at Wembley Stadium, connected by EE, over the weekend of April 22-23.
An exact date, kick-off time and ticket information will be confirmed in due course.
We last reached this stage of the competition in 2012, where we also faced the Blues but suffered a 5-1 defeat.
Chelsea booked their place in the last four with a 1-0 home win over Manchester United on Monday night.
The other semi-final will be contested between Arsenal and Manchester City.
As a result of our progress in the FA Cup, our Premier League match away to Leicester City will be postponed with a new date to be confirmed in due course.