Moretz and Brooklyn have been rumoured to be dating off and on since 2014.
Brooklyn reportedly split with from his model girlfriend Sonia Ben Ammar, recently.
The aspiring photographer/model posted an adorable black and white photo wherein the Neighbors 2 actress is seated on the floor of a hotel hallway next to a door with some food deliveries. Brooklyn has captioned the photo: "Late night take out with the bae ❤️"Soon after the 17-year-old posted the photo, fans expressed how happy they were.
While one person wrote: "Chloeeeeeeee you're so sweet." Another said: "I'm very Happy." However, some were not so happy with the photo.
A fan wrote: "I think I'm gonna cry, I'm slowly moving on." Another wrote: "Noooo it's not Sonia."Previously, Moretz had shared a black-and-white photo of the two getting cozy in a vehicle.
In the photo Moretz can be seen resting her head on Brooklyn's shoulder.
Last week, the same photo was shared by Brooklyn on his Instagram account The two started sharing photos on Instagram after Brooklyn posted their first selfie on his account on 24 April.
The black and white photo of the two in a dark room in front of a large mirror sees Brooklyn snuggling into Moretz.
The actress can be seen wearing a long coat in the photo.
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Chloe Grace Moretz and Brooklyn – son of David and Victoria Beckham – have shared some super cute photos of each other on Instagram amid months of speculation that the two are dating.