Oman, the back-channel for US-Iran talks that paved the way for the 2015 accord, said Wednesday "the option of confrontation is not in the interest of any party".
The agreement is due to expire at the end of 2018.Saudi Arabia, the world´s largest oil exporter and top OPEC producer, is concerned about any negative impact from the possible supply shortage on oil-consuming countries, the OPEC source said.
His comments came after Trump defied the wishes of the other parties to the nuclear deal - France, the UK, Germany, Russia and China - by announcing the USA would pull out of the accord and impose new sanctions on Tehran.
At an Arab League summit last month hosted by Saudi Arabia, the country's King Salman said the regional body agreed to "renew our strong condemnation of Iran's terrorist acts in the Arab region and reject its blatant interference in the affairs of Arab countries".
Iran produces about 3.8 million barrels per day (bpd) and the country is OPEC's third-biggest producer, behind Saudi Arabia and Iraq.
President Trump pulled out of the Iran Nuclear Deal on Tuesday, stating that the deal was "defective at its core".
According to the Treasury factsheet, the US will resume efforts to reduce Iran's crude oil sales, with sanctions to be re-imposed following a 180-day wind-down period.
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Oil prices are stable because of market stability, he said, because OPEC's goal "is not prices but market stability and lowering storage levels".
The oil price is at its highest since late 2014 and is on track for its fourth consecutive quarterly gain, the longest such stretch for over 10 years.
Washington's allies may find formulas to avoid sanctions exposure. It violates United Nations resolutions with regards to ballistic missiles.
The inflammatory remarks from Saudi Foreign Minister Adel al-Jubeir came just a day after Donald Trump pulled the US out of the Iran nuclear deal.
It was the busiest day in US front-month contracts since August, and for Brent the busiest in nearly a month. Its production accounts for about 4 percent of the world's oil supplies.
The news agency Bloomberg, citing Amrita Sen, chief oil analyst at Energy Aspects Ltd., noted that the renewal of Iranian sanctions can drastically change the agenda for the upcoming OPEC meeting in June.
But the USA sanctions on Iran, assuming they are effective, mark the end of the current output agreement.