Chloe Grace Moretz

Chloe Grace Moretz

Chloe Grace Moretz and Brooklyn Beckham are "very competitive."

The 17-year-old 'Carrie' actress and the 15-year-old British model, who recently started dating, have been enjoying low key dates at popular spinning gym Soul Cycle in Brentwood, Los Angeles over the summer.

A source told PEOPLE.com: "They cycle next to each other and are very cute. Always look to be cheering each other on with smiles. They also both seem very competitive, but in a fun way."

Despite being fans of the actress, Brooklyn's parents, David and Victoria Beckham, always supervise his dates with the 'Kick-Ass' beauty.

The insider said: "Brooklyn is always chaperoned by one of his parents. But both David and Victoria must be okay with Chloe, because they will chat briefly with her and then leave them alone."

The couple started dating three months after after being introduced at Paris Fashion Week by mutual friends.

Brooklyn has been photographed leaving Soul Cycle classes regularly, where he often out-performs retired footballer David.

Another source said: "He comes in with his parents - one or the other. He's adorable. You usually see him come in with his dad, who is obviously gorgeous, and all the women in the class just stare.

"You'd think David would be awesome at it, but in fact, Brooklyn just crushes it.

"[Brooklyn] can do all these amazing moves. He's a natural athlete. You don't know what he's going to do next, but you can tell he's got that Beckham gene."

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