Arsenal have been drawn away to League Two side Bradford City in the League Cup quarter-finals.
Chelsea face a tricky visit to Leeds United, who have already claimed two Premier League scalps in the competition, while top-flight sides Norwich City and Aston Villa will clash at Carrow Road.
Swansea City's reward for putting out holders Liverpool is a home tie with Championship outfit Middlesbrough.
League Cup quarter-final draw in full:
Leeds United vs. Chelsea
Swansea vs. Middlesbrough
Norwich vs. Aston Villa
Bradford vs. Arsenal