Alex was spotted at one of the star’s Las Vegas shows last month, and they’ve also reportedly spent time together in Miami while she records her album.
Alex lives in Miami with his two daughters, but also has a home in Los Angeles.
A source told E! News: “This is very, very new. It’s not serious at all. J-Lo is just dating.
“Jennifer and Alex are both not looking for a relationship, just a good light-hearted time. They are on the exact same page.”
Alex recently split from tech tycoon Anne Wojcicki, while Jennifer, 47, was linked to Canadian rapper Drake until earlier this year.
Last month, the actress and singer opened up about her dating life during an appearance on Ellen.
She said: “First of all, stop! I don’t date younger men. I don’t think men have to be younger. It’s not about that. I just meet people, and if I go out with them, I go out with them.
“And if I like them, I like them, and if I don’t, I don’t. It’s about the person, you know what I mean? It’s about who they are. It has nothing to do with age!
“There’s this thing, because I dated Beau [her backing dancer Casper Smart], and he was younger, and he was the first guy I ever dated who was younger than me, but then I got labelled right away.
“For me, it isn’t [about age]. If they’re older, they’re older. If they’re younger, they’re younger. It depends on whether or not I’m attracted to their spirit, their soul, their whatever… their energy.”
She was linked to Drake until earlier this year