Holders Manchester City will travel to Newcastle United in the FA Cup quarter-finals.
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 the winner of Tottenham and Norwich host either Manchester United or Derby, who play on Thursday.
The matches will be played across the weekend of 21 and 22 March.
FA Cup quarter-final draw
Sheffield United v Arsenal
Newcastle v Manchester City
Tottenham/Norwich v Derby/Manchester United
Leicester City v Chelsea