Brolin is best known for his work in the films "Milk," "No Country for Old Men," "W.," and "Goonies."
Bryce Dallas Howard, Ty Simpkins and Nick Robinson are also in the running to appear in the fourth installment in the "Jurassic Park" franchise, which is due in theaters in 2015.
Details regarding the dinosaur picture's plot have not been reported.
"Jurassic Park III" was released in 2001.
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