The Gangster Squad actor is not yet officially on board, but film bosses are expected to offer him the part soon, reported The Wrap.
Josh, 45, is said to be "likely to accept" the role in the fourth movie in the Jurassic Park franchise.
He would join Bryce Dallas Howard, Nick Robinson and Ty Simpkins, who are all thought to have signed up.
So far little is known about the 3D dinosaur thriller, as plot details are firmly under wraps.
Jurassic World, directed by Colin Trevorrow, is scheduled to be released in June 2015.
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? firstname.lastname@example.org
Spending time with family will help relieve stress. It's comforting to be surrounded by those who understand your quirks. In your public life, you feel like you always have to explain yourself to colleagues. This becomes incredibly draining. To add insult to injury, you've had difficulty finding an appropriate job for your level of expertise. Instead of holding out for the perfect opportunity, you should take a low level job that yields regular pay.More