The former cricketer - whose engagement to Elizabeth Hurley ended earlier this year - was delighted to learn a professional matchmaker had paired him up with the Australian model, whose marriage to Orlando Bloom ended last year.
During an appearance on the Kyle and Jackie O show on KIIS FM this morning (02.05.14), presenter Jackie Henderson told him: ''Based on all your previous relationships, I have got an assessor to come up with some things that I should be looking for.
''I want to make sure that I'm looking for the right things, so you tell me if what she came up with is correct.''
Jackie then listed what she believes Shane looks for in a woman, including confidence, spontaneity, adventure, and above all, someone who takes pride in their appearance.
He exclaimed: ''You are on absolute fire at the moment Jackie, everything is a big tick. You must have Ms. Perfect ... the Mrs. Shane or something.'
However, though he praised ''wonderful and beautiful'' Miranda, Shane said he would have to ''check'' with his friend James Packer, as the billionaire has been romantically linked with the Victoria's Secret model for the last three months.
He said: ''I think I would actually have to ring my friend James first, I'm not sure what's happening there.
''Miranda's a wonderful beautiful person. I'd love to say yes to that but mates come first there, so I'd have to check with James what the situation was. I don't do the dirty on friends...you don't go there.''
Corgan took to Instagram to confirm rumours of new Pumpkins material, saying the first songs could arrive as early as May.