Holders Manchester City will travel to Newcastle United in the FA Cup quarter-finals, while Manchester United could head to Norwich.
Arsenal, who have won the FA Cup a record 13 times, visit Sheffield United while Chelsea, who last won it in 2018, are away to Leicester.
The final game sees Norwich, who beat Tottenham in a memorable penalty shoot-out, host either Manchester United or Derby, who play on Thursday night.
The matches will be played across the weekend of March 21 and 22.
Pep Guardiola’s City side progressed to the last eight with a hard-fought 1-0 win at Championship side Sheffield Wednesday to continue their quest for a domestic and European cup treble.
Arsenal had become the first team in the hat when they beat League One Portsmouth on Monday night, while Sheffield United progressed to the quarter-finals for the first time in six years with a 2-1 extra-time win at Reading.
Chelsea beat runaway Premier League leaders Liverpool 2-0 on Tuesday thanks to goals from Willian and Ross Barkley, while Leicester edged out Birmingham 1-0 thanks to Ricardo Pereira’s late header.
Norwich reached the quarter-finals for the first time since the 1991-92 season by beating Tottenham 3-2 on penalties after a 1-1 draw in north London.
Norwich v Man Utd/Derby
Chelsea v Leicester
Newcastle v Man City
Sheffield United v Arsenal