"He is intrigued by Courtney's wit while she says Aaron is a great influence on her. Some people might think they are an odd couple, but she likens them to Marilyn Monroe and Arthur Miller," an insider told the Post.
Sorkin, 52, and Love, 49, started seeing each other a few months ago when she temporarily moved from New York to the Chateau Marmont hotel in Los Angeles.
The Post said Love's representative declined to comment on its story and Sorkin's spokesman denied it was true.
Sorkin's credits include "The Newsroom," "The West Wing" and "The Social Network."
Love, former front woman for the band Hole, was the wife of rock icon Kurt Cobain, who died in 1994. Her career has been eclipsed in recent years by reports of her substance abuse and erratic behavior.