Aston Villa will face the winners of Liverpool and Blackburn, while Arsenal will take on the victors from the Bradford City-Reading replay in the FA Cup semifinals.
Holders Arsenal, who defeated Manchester United 2-1 on Monday, will play in the semifinals at Wembley against lower-league opposition.
Championship side Reading will host League One Bradford in a sixth-round replay next Monday.
Liverpool travel to face Blackburn Rovers after their 0-0 draw at Anfield on Sunday.
FA Cup semifinal ties at Wembley Stadium on April 18-19: