In an interview with Vanity Fair, the Oscar-winning actress was asked if she knows when the film will go on floors. Brie Larson said:

I just feel like it’s been this incubation time. Whether it’s incubation because I’m developing projects, and also incubation myself, being, like: OK, I’m going to be turning 30. I’ve been working a lot. I need to just like change it up and see what’s there for me — see who I am now. And which ways that I want to grow.” Looking at the MCU films that have already been announced, I think we can speculate that the earliest we’ll get Captain Marvel 2 is 2022. Remember, the likes of Black Panther 2 and Guardians of the Galaxy Vol 3 have no released dates announced yet as well. I believe we’ll get those sequels in phase five, while phase four focuses on introducing us to new characters like Shang-Chi and The Eternals. 

Captain Marvel  Even Brie Larson Has No Clue When We ll Be Getting a Sequel - 60