Wright played Shuri in 2018's acclaimed Black Panther, set in the scientifically advanced but reclusive fictional African nation of Wakanda.
The film, which has a predominantly black cast, became a cultural milestone, grossing $1.3 billion and being nominated for a Best Picture Oscar award.
Wright was injured while filming a stunt sequence in Boston in late August.
At the time, she was expected to recover soon enough for the shooting schedule to remain uninterrupted, Variety and Hollywood Insider reported.
More details about the injury have not been released but it was initially described as minor.
"Letitia has been recovering in London since September from injuries sustained on the set of 'Black Panther 2' and is looking forward to returning to work early 2022," representatives for the British-Guyanese actor said.
"Letitia kindly asks that you keep her in your prayers."
Wright's character is expected to take on a larger role in the sequel, after Chadwick Boseman, who played the title character in the first movie, died of cancer last year.
Black Panther: Wakanda Forever is scheduled for release on November 11, 2022.
The pause in shooting is reportedly not expected to affect the release date of the movie, which is directed by Ryan Coogler.