"In view of the vulnerability of Saudi's supply chain and the likelihood that such attacks could be repeated in the future, we expect the market to reprice the geopolitical risk premium in oil," BNP Paribas' Harry Tchilinguirian said in a note.
"The oil market has so far been complacent about recent developments in the Middle East. In our opinion, this will no longer be the case going forward."
Saudi Arabia sought to reassure markets
after the attack on Saturday halved oil output, saying on Tuesday that full production would be restored by month's end.
Minister Prince Abdulaziz bin Salman said on Tuesday that average oil production in September and October would be 9.89 million barrels per day and that the world's top oil exporter would ensure full oil supply commitments to its customers this month.
Saudi Aramco has informed some Asian refiners that it will supply full allocated volumes of crude oil in October, albeit with some changes.
Still, risks to oil prices remained after a US official said that Washington believes the attacks originated in southwestern Iran.
Relations between the United States and Iran have deteriorated since US President Donald Trump pulled out of the Iran nuclear accord last year and reimposed sanctions on its oil exports.
Tehran rejects the charges it was behind the strikes and on Tuesday ruled out talks with Trump.
US crude inventories rose by 592,000 barrels in the week ended Sept. 13 to 422.5 million, data from industry group the American Petroleum Institute showed on Tuesday. Analysts had expected a decrease of 2.5 million barrels.
Official US government data will be released on Wednesday.