Madonna and A-Rod: House Hunting?!?

Are Madonna and Alex Rodriguez already looking to shack up?!?

Apparently so, according to Page Six. They're reporting the alleged couple are "discreetly looking at properties" in NYC's super-posh Upper East Side.

"Madonna personally came to look at one house a couple of months ago, and Alex has been looking recently," the source told P6.

These two aren't looking for a small love nest either, they've got their sights set on something a little more grand.

"We're talking about private, double-width mansions in the vicinity of $30 million to $60 million," the source said.

Madge's rep didn't respond to the story, but A-Rod's peeps denied the pair were house hunting.

It would seem that Alex has bigger real estate worries to deal with first. He's still trying to unload his four-bedroom apartment he shared with ex-wife Cynthia. He just dropped the price from $14 Mil down to $10 Mil and he's even will to rent the place out for $50K a month!