Those two countries, the regional powers most preoccupied with Iran's nuclear ambitions, offered reactions Monday that suggested lingering skepticism, but neither called for torpedoing the deal.

On the heels of an extensive weekend interview with The New York Times, President Barack Obama taped an interview with NPR in which he hammered home the administration's message that the deal is unmatched in the scope of inspections, is built on real-life restrictions rather than trust, and that any sanctions relief could be reversed if Tehran doesn't uphold its end of the agreement.

He also said requiring Iran to recognize Israel as part of the deal would be a "fundamental misjudgment."

"We want Iran not to have nuclear weapons precisely because we can't bank on the nature of the regime changing," he told NPR.