Reuters quoted Netflix Chief Content Officer Ted Sarandos as saying that the firm is in "active discussions" with Disney on the issue.
Lucasfilm produces Star Wars movies.
Earlier this week, Disney said it will launch two streaming services of its own.
The first, a film and TV streaming service, featuring original Disney content, would go live in 2019, coinciding with the end of its distribution agreement with Netflix.
The film studios and theme parks operator added that a sport-based streaming service under its ESPN banner would become available next year.