Negotiators from the U.S. and Iran have made "substantial progress" toward a deal to curb Iran's nuclear program, Omani Foreign Minister Badr Albusaidi told CBS News on Friday.

Axar.az informs Albusaidi — who has mediated several rounds of U.S.-Iran talks over the last month — told "Face the Nation" moderator Margaret Brennan that a "peace deal is within our reach."

He said Iran has agreed that it will "never, ever have … nuclear material that will create a bomb," which he called a "big achievement." The country's existing stockpiles of enriched uranium would be "blended to the lowest level possible" and "converted into fuel, and that fuel will be irreversible," according to Albusaidi.

Read the full interview here.