May's office says she and US President Donald Trump spoke late yesterday and both sides agreed their teams would remain in contact ahead of Trump's decision on the pact.
Trump has threatened to scrap the agreement, calling it the "worst deal ever." He must recertify the measure by October 15 because of unilateral conditions set by Congress.
Foreign Secretary Boris Johnson also spoke with US Secretary of State Rex Tillerson to stress the benefits of the deal, under which Iran agreed to limit its nuclear program in exchange for the lifting of economic sanctions.