The ink is barely dry on Madonna’s and Alex Rodriguez’s respective divorce papers. And the power players haven’t confirmed the rampant rumors they’re a couple. But they may already be ready to move in together. A source tells the New York Post the duo have been “discreetly looking at properties” on an ultra-tony stretch of NYC’s Upper East Side.

“Madonna personally came to look at one house a couple of months ago, and Alex has been looking recently,” dishes the spy. “We’re talking about private, double-width mansions in the vicinity of $30 million to $60 million.”