We've learned the 'Bachelor' couple's been looking in the trendy South Park neighborhood in downtown L.A. -- just a few blocks from Staples Center. So far, we know they took a liking to a 2 bedroom, 2 bath unit in a 38-story luxury skyscraper. We're told they spent 45 minutes touring it.
They didn't sign on the dotted line because they want to check out a few more spots. Nick's current lease, courtesy of 'DWTS' -- is about to expire, so they've gotta move quickly.
During "The Bachelor" ... Nick insisted he'd return home to Milwaukee, and ditto for Vanessa and Montreal.