Yes, you read that right! The 20th Century Women actress, 20, and the Handmaids Tale actor, 32, were seen getting affectionate with one another in London.
In a picture obtained by E! News, Elle appeared to wrapped her arms around her rumored boyfriend while the two were giggling together.
The duo was all smiling ear-to-ear as they walked side-by-side in the romantic city.
Check out the photo.
The blond beauty looked adorable in a black dress, jacket and flat sandals as she carried a bright blue Louis Vuitton purse. The handsome hunk, meanwhile, rocked gray joggers, sneakers and a navy blue jacket.
The pair was certainly appeared to be more than friends.
A source has even revealed that Elle kissed Max on his neck as she draped her arms around him.
The source said,
They were all over one another. She kissed him on the neck as she draped her arms around him. They looked really happy together and laughed a lot as they took selfies with each other.
The rumored couple are currently working together on the upcoming indie film Teen Spirit, which will release in 2019. Max is directing the movie while Elle is starring as its lead star.
Max previously had an affair with Fantastic Four actress Kate Mara. The former couple announced their split in August 2014, after four years of dating.