Super League champions Wigan face a Challenge Cup fifth round trip to Bradford in a game to be televised live by the BBC on Sunday 22 May (1530 BST).
The other game chosen by the BBC for live coverage is Wakefield's derby with local rivals Castleford, which will be played on Saturday 21 May (1430 BST).
Harlequins go to Headingley to play former coach Brian McDermott's Leeds.
Cup holders Warrington are at home to Swinton, and Huddersfield entertain Catalan Dragons.
St Helens face Featherstone Rovers, Hull FC visit Widnes and Salford host Hull KR.
Having already lost 44-10 at home to Wigan in the league back in February, Bulls coach Mick Potter admits that they will have to raise their game against Wigan at Odsal in a fortnight's time.
"They're the Super League holders and we'll have to be at our very best to beat them," he said.
"We've got some work to do but it's good to be in the next round and I'm glad it's at home."
Wigan coach Michael Maguire says his side will not be taking anything for granted.
"It is one we are going to make sure we do a lot of homework on," he said.
"Bradford have turned the corner and are performing. We have got to make sure we do what we are capable of."
Former Wigan and Bradford coach Brian Noble told BBC Sport: "It's as if the draw has been seeded.
"We could have the top eight teams of Super League in the quarter-finals in the Challenge Cup but there's some fabulous ties in the fifth round first and I'm sure all the teams will pull out the stops to win."
Leeds captain Jamie Peacock said his side's desire to make amends for their thumping by Warrington in last year's final would be their incentive to do well this time round.
"We were soundly beaten in last year's final by Warrington so have something to prove," he told BBC Sport.
"It's about going one step further but we have got to beat Quins first.
"The top three or four in Super League will fancy their chances and Warrington, as the holders, will put a lot of emphasis on defending their trophy."
This year's Challenge Cup final takes place at Wembley on 27 August.
Full fifth round draw:
Huddersfield v Catalan Dragons
Warrington v Swinton
Leeds v Harlequins
St Helens v Featherstone
Wakefield v Castleford
Bradford v Wigan
Widnes v Hull
Salford v Hull KR
Games to be played on weekend 21/22 May