If reports are true, one of the most high-profile celebrity couples out there already have nicknames ready to go: J.Lo and A. Rod. E! News reports that Jennifer Lopez and baseball star Alex Rodriguez have been seeing each other lately, though things are “very new” and “not serious at all.” (The news was first reported by LoveBScott.com.)

A source told People that the two “have been dating for a few weeks,” adding “she seems excited,” and that “he has been around her family and she really likes that he is a dad. She is aware, though, that he is a ladies’ man too and is being cautious. For now, it’s just fun. She is single and enjoys dating.”

Us Weekly reports the two are simply “hanging out” and are keeping things “really secretive.” The two of them were reportedly in Los Angeles together last weekend, and A. Rod attended one of her concerts in Las Vegas recently. They actually first met back in 2005 when Lopez watched Rodriguez’s Yankees play the Mets.

Awkwardly enough, she was with her then-husband Marc Anthony, who was wearing a Mets jersey. (The Mets ended up winning that game 7-1.)

Rodriguez recently broke things off with Anne Wojcicki, the cofounder of genetic analysis company 23and Ms. Lopez, of course, recently dated Drake, and the two were very public about their relationship. A representative for Rodriguez had no comment to People, and a rep for Lopez did not respond to their request for comment. But perhaps telling is that J.Lo recently liked a photo of Rodriguez, in which he announced he was becoming a commentator for Fox Sports.