The book proved to be an immediate bestseller and was sold out at bookstores in several major cities the day it was released.
No studio is currently attached to the project.
Wolff will serve as an executive producer with former BBC executive Michael Jackson also producing.
Trump has repeatedly attacked Fire and Fury as being false.
"We are going to take a strong look at our country's libel laws so that when somebody says something that is false and defamatory about a person, that person will have meaningful recourse in our courts," he said ahead of its release.
Wolff says he based the book on more than 200 interviews and had access to the White House and Trump himself.
Multiple projects related to Trump and his presidency are on the television landscape already.
Comedy Central currently airs the series The President Show, which stars Anthony Atamanuik as Trump.
Showtime is also preparing to release the animated series Our Cartoon President, which is executive produced by Stephen Colbert.
Endeavor Content was formed in October, combining the film financing and scripted TV sales operations of WME and IMG.