"Would you reconsider, perhaps stay another year?" Obama asked, according to an excerpt of the book released Thursday.
Clinton then reportedly told Obama that it didn't suit her and she would leave public office.
Since leaving the administration on Feb. 1, it has been widely speculated that Clinton is gearing up to launch a 2016 presidential run. Sen. Kay Hagan (D-NC) inadvertently revealed Monday that all female Democratic senators had signed a letter to the former State Department chief encouraging her to run.
"I’m not in any hurry,” Clinton told New York Magazine in September. “I think it’s a serious decision, not to be made lightly, but it’s also not one that has to be made soon."