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The U.S. reportedly carried out new strikes against Iran on Monday night. A U.S. official said they were a "defensive measure." Getty Images

Oil prices are rising again on Tuesday after the U.S. reportedly conducted strikes against Iran in Qeshm island.

Brent crude edged up, gaining 0.34% and clocking in at $105.13 per barrel at 7:43 a.m. ET, while West Texas Intermediate, the U.S. benchmark, climbed 0.89% a $97.32 per barrel at the same time.

A U.S. official told The Wall Street Journal that the strikes were a "defensive measure" and responded to "Iranians using surface to air missiles against U.S. assets." The outlet went on to note that Washington has been carrying out such actions over the past weeks.

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The development took place as officials in the administration have been discussing chances of a deal with Tehran, with Vice President JD Vance telling CNN "the president and I both feel really good about the prospect of potentially coming to a negotiated settlement."

Trump, on his end, noted on Monday that prices were dropping on hopes of a deal. "Iran wants a settlement, as soon as possible. It could happen!" he added.

The president also told Axios earlier on Monday that he's in "no rush" to decide whether to resume full-fledged attacks against Iran. "One way or the other, we will do something, but there is no rush. We crippled them financially. They have no money, no gasoline and their people are getting very tired of it," Trump told the outlet.

Axios went on to note that Qatari mediators are waiting for feedback from Washington and Tehran as indirect talks continue.

"We are talking to them. It's going fine. The problem with them is ... they try and tap" us along, Trump said, noting that "there's less urgency" from Iranian leadership that he expected "but they want to make deal more than they ever wanted."

Iran, in turn, said it has a plan to reopen the Strait of Hormuz in two days if talks with the U.S. progress and broader negotiations to end the war take place.

For that to happen, Tehran reiterated that Washington needs to meet seven conditions, including lifting the blockade of U.S. ports, lift sanctions and agree to a ceasefire that includes Lebanon.

"This once again demonstrates Iran's good-faith approach," said Iranian Foreign Ministry spokesperson Esmail Baghaei.

Elsewhere, Iranian President Masoud Pezeshkian said that Supreme Leader Mojtaba Khamenei gave the government "certain authorities" to conduct negotiations.

Iranian state media reported that Pezeshkian went on to say that Tehran seeks to solve the war with the U.S. without returning to full-fledged hostilities.