The actress played Princess Leia in three of the previous six films and, following the announcement that a new trilogy is in the pipeline after creator George Lucas sold his company to Disney in a £2.5 billion deal, she has said she would like to return.
Asked by TMZ.com if she would accept a role in the next film, the 66-year-old said: "Yes. Sure. Wouldn't you?"
A source close to the new project told Entertainment Weekly's Inside Movies blog: "Harrison is open to the idea of doing the movie and he's upbeat about it, all three of them are."
The "three" refers to Carrie, Harrison and Mark Hamill, who played Luke Skywalker.
Following Disney's purchase of the franchise, it was revealed that a seventh movie, with the working title Episode 7, is set for release in 2015.