It looks like Swizz Beatz and Alicia Keys will be bunking up together, after going public with their relationship last year.

The New York Post reports that the superproducer and the songstress have recently been seen around their New York City hometown house shopping.

A source tells the paper that the couple are interested in purchasing the multi-million dollar duplex penthouse condo on 170 East End Ave., directly across the street from the Mayor’s Gracie Mansion digs. The ulta-exclusive building boasts a gym, squash courts and a private screening room.

Swizz’s marriage to R&B singer Mashonda Tifrere ended in April of 2008. The pair have a son together and are reportedly on good terms after having a public feud over twitter. —Max G