The boy band - who are made up of Andy Brown, Adam Pitts, Joel Peat and Ryan Fletcher - would love the blonde beauty to follow in the footsteps of Kelly Brook, who appeared in their 'Juliet' video earlier this year, but are too scared to ask her in case they ''p**s off'' the DJ.
Speaking at The Roundhouse in London's Camden Town last night (28.11.13), where radio station Capital FM and its dedicated charity, Help A Capital Child, held its annual star-studded fundraiser, Capital Rocks, Ryan told BANG Showbiz: ''I'm a big fan of Rita Ora, but whether she wants to feature on one of our songs or in one of our videos remains to be seen.
''We'll have a word, but we don't want to p**s Calvin off though, he seems like a legend and a great guy. I don't want to tread on any toes.
''I suppose he could get involved, too. We'll see what happens.''
While Ryan is particularly keen to get Rita on board, he admits whoever they get will have a tough job following on from brunette beauty Kelly because she was so nice to work with.
He added: ''I don't know if we can get anyone better than Kelly Brook though. She is one of the sexiest women in the world.
''She's so nice and great to work with. We peaked too early on that one, she's amazing but we're going to keep trying to top her.''
Corgan took to Instagram to confirm rumours of new Pumpkins material, saying the first songs could arrive as early as May.