It would be a London derby in one of the FA Cup semi-finals as Chelsea and Tottenham have been drawn against each other. Arsenal, who will play in a record 29th FA Cup semi-final, will face Manchester City.
Both games will be played at Wembley on the weekend of 22 and 23 April.
Arsenal, who were FA Cup winners in 2014 and 2015, secured a place at Wembley by beating non-league Lincoln 5-0 at the Emirates on Saturday, while Manchester City ran out 2-0 winners over Middlesbrough at the Riverside.
Chelsea knocked out holders Manchester United in a hard-fought 1-0 win on Monday, with Spurs thrashing League One side Millwall 6-0 at White Hart Lane on Sunday.
FA Cup Semi-final draw:
Chelsea v Tottenham Hotspur
Arsenal v Manchester City