The story of the late Apple co-founder's life is the subject of a deal worth $1m (£642,000) to $3m (£1.9m), according to Deadline.
Source Code's Mark Gordon has already been touted to produce the picture.
The book - simply titled Steve Jobs and written by Walter Isaacson - had its release date pushed forward from November 21 to October 24 following the inventor's death on Wednesday.
The biography is comprised of a host of interviews from Jobs himself, as well as colleagues, loved ones and fans. It is described as "a riveting story of the roller-coaster life and searingly intense personality of a creative entrepreneur".
Steve Jobs rose to the top of Amazon's bestseller list this week based on pre-orders alone.
> Steve Jobs 1955-2011: Obituary
> Steve Jobs 1955-2011: Reactions
> Steve Jobs, Apple leader, in his own words: Best quotes
Watch Steve Jobs recall some of the most significant moments in his life during his speech to the graduates of Stanford University in 2005 below: