"The only chance I can see of an extension at this point in time would be that you really have the outlines of the agreement," Kerry said in the interview on NBC's "Meet the Press" taped yesterday in Munich.
Global powers have been struggling for more than a year to pin down a comprehensive deal to rein in Iran's suspect nuclear program, after an interim accord was struck in November 2013.
After their meeting today, Zarif appeared to rule out any new extension to tough negotiations with world powers.
Kerry said outlining the basics of the agreement was crucial before a possible extension could be considered, but reiterated his preference for sticking to the target date.
"But if we're not able to make the fundamental decisions that have to be made over the course of the next weeks, literally, I think it would be impossible to extend," he told NBC.
After missing two previous deadlines, the group known as the P5+1 -- Britain, China, France, Germany, Russia, and the United States -- set a March 31 deadline for a political agreement.
That would be followed by a final deal setting out all the technical points of what would be a complex accord by June 30.
But the atmosphere has been complicated by hardliners both in Iran and the United States, with US lawmakers threatening to impose new sanctions on Iran if the March deadline is missed.
