Leeds have been rewarded with a Capital One Cup quarter-final against Chelsea, who came away with a stunning 5-4 win over Man Utd.
However, Neil Warnock's side have already dispensed with two top-flight opponents in the competition, knocking out Everton 2-1 and Southampton 3-0 - both on home turf.
Chelsea boss Di Matteo told Sky Sports: "Playing away is always difficult and Leeds and Chelsea have a bit of history there as well. It will be an interesting game."
The lowest-ranked side still in the hat, League Two outfit Bradford have been dealt a tough draw against Arsenal but at least have the benefit of home advantage. Like Leeds the Bantams have already knocked out Premier League opponents, seeing off Wigan 4-2 on penalties after a 0-0 draw.
For an Arsenal side looking to end a trophy drought stretching back to 2005, the chance of a taking on a fourth-tier side for a place in the semi-finals must surely be an appealing one.
Aston Villa's trip to Norwich is the only all Premier League match-up in the last eight and gives Villa boss Paul Lambert another chance to face the club he left this summer. The two teams drew 1-1 in league action at the weekend.
The draw is completed by Swansea's home match against Middlesbrough.
Information from the Press Association was used in this report