Katy Perry and Josh Groban may sound like a perfect couple, but the two singers are not romantically involved, according to his rep.

"Josh and Katy are very close friends and hang out, but they are not a couple," Groban's rep, Luke Burland, tells PEOPLE in response to rumors of a relationship between the two.

Perry, who split with Travis McCoy in January, is currently touring her One of the Boys record. Groban, who is working on a new album, attended her Los Angeles show in February.

Why did Perez, very good friends of both Katy and Josh, leak this story in the first place? It's bad PR for him and I don't think either of 'em needed this rumor. Bummed. I think Katy's a sweet girl underneath all her thick makeup and I think her and Josh are just the kind of "opposites attract" couple that could work. Sigh. She dated the dude from Gym Class Heroes. Josh is an upgrade.