Did Adam Lambert Record A Song With Christina Aguilera?

According to a tweet from Tampa Bay radio station 93.3, “Not sure if this is out yet but a little birdie just told us that @AdamLambert has recorded a song with Christina Aguilera.” We already know for certain that Adam, who is currently prepping his sophomore album, is working with singer-songwriter Sia, who gave us some of the better tracks on Christina’s Bionic and the Burlesque soundtrack. But a pairing of Xtina and Glambert? We wouldn’t say no to that. What do you think of the American Idol alum hitting the studio with The Voice coach?