Sorkin, who won a 'Best Adapted Screenplay' Oscar for his film about Facebook founder Mark Zuckerberg, confirmed that he is mulling over an offer to write the Jobs movie.
"Sony has asked me to write the movie and it's something I'm strongly considering," he told E! Online.
"Right now I'm just in the thinking-about-it stages. It's a really big movie and it's going to be a great movie no matter who writes it."
Sorkin added that he is currently reading Walter Isaacson's Jobs biography, which Sony acquired the movie rights to in a seven-figure deal.
"He was a great entrepreneur, he was a great artist, a great thinker," Sorkin said of Jobs. "He's probably inspired [my 11-year-old daughter] Roxy more than he's inspired me. She plays with all his toys."
George Clooney and his former ER co-star Noah Wyle, who portrayed Jobs in the 1999 TV movie Pirates of Silicon Valley, have both been rumoured for the big-screen look at the late Apple CEO's life.
> Social Network Aaron Sorkin to write Steve Jobs biopic?
Watch Noah Wyle imitate Steve Jobs at 1999's Macworld expo in New York.