Rice would be the first woman ever to interview for an NFL head-coaching job.
"Our coaching search will be thorough and deliberate," Cleveland general manager John Dorsey said. "But we are still in the process of composing the list of candidates and Secretary Rice has not been discussed."
Rice would become the first woman to interview for an NFL head-coaching job. Dorsey noted on Wednesday he was open to hiring a woman for the coaching vacancy. Dorsey and the Browns' brass are interested in what Rice "could bring to the position and the organization," per Schefter.
Rice commented on Schefter's report on her Facebook page, writing, "I'm not ready to coach, but I would like to call a play or two next season if the Browns need ideas!"
Rice is a "lifelong Browns fan," per Schefter and is familiar with owner Jimmy Haslam. She was an inaugural member of the College Football Playoff selection committee, and recently served as the chair of the Commission on College Basketball.
Rice was the United States Secretary of State under George W. Bush from 2005-09.