A third film has been rumoured since the release of Sherlock Holmes: A Game of Shadows but has not yet been officially confirmed, although Jude Law has stated a script is in development.
"Drew Pearce (Iron Man 3) is working on the script," Lin confirmed to Collider. "It's a high priority for the studio and for all the filmmakers involved.
"We want to make the right movie. We got a great response to the second movie, and frankly the Moriarty character sets such a high bar that we want to make sure we're telling the right story for the third."
It was reported last year that director Guy Ritchie had signed on for a third film, and is keen to base the new instalment in Hollywood rather than the UK.
> 'Sherlock Holmes: A Game of Shadows' review
> 'Sherlock Holmes: A Game of Shadows' Jared Harris interview
Watch the trailer for Sherlock Holmes: A Game of Shadows below: