While Mutt won’t be embarking on any perilous journeys alongside his father any time soon, Koepp says he and Spielberg are largely satisfied with the current version of the screenplay, and production could begin in the near future.

“We’re plugging away at it. In terms of when we would start, I think that’s up to Mr. Spielberg and Mr. Ford,” he continues, playfully teasing that the plot will involve “some precious artifact that they’re all looking for” throughout the film. “I know we’ve got a script we’re mostly happy with. Work will be endless, of course, and ongoing, and Steven just finished shooting The Post …. If the stars align, hopefully it’ll be his next film.”

After appearing in Crystal Skull, LaBeouf, whose representatives did not return EW’s request for comment, criticized the production in a 2010 interview with the Los Angeles Times. He told the paper he felt as if he “dropped the ball on the legacy that people loved and cherished,” and that Ford wasn’t happy with the film either. Ford later responded by calling his costar a “f—g idiot” for his comments.