Representatives of both countries will probably meet over the weekend, Trump says, according to AFP, adding that there are no stumbling blocks left that could derail an agreement.
"There are no obstacles," he told the news agency.
He wrote on Truth Social that Iran has agreed "to never again close the Strait of Hormuz," but that the US naval blockade of Iran will continue until the parties are "100 percent" done with the peace agreement.
"That process should go very quickly as most points have already been negotiated," he continued.
Iran objects
Iran, on the contrary, claims that several points are far from resolved, not least the issue of the country's enriched uranium.
Donald Trump wrote on Truth Social that "the United States will get all the 'nuclear dust'", by which he meant, among other things, all the 60-percent enriched uranium the country has, which, according to the International Atomic Energy Agency (IAEA) in June last year, was 440.9 kilograms.
But Iranian Foreign Ministry spokesman Esmaeil Baqaei says, according to the semi-official Iranian news agency Tasnim, that "enriched uranium is as sacred to us as Iranian soil and will not be moved anywhere under any circumstances."
According to him, the issue of the US moving the uranium has not even been raised in the negotiations, which so far have instead been about ending the war.
"The ten-point plan to lift sanctions is important to us. The issue of compensation for the damage caused by the war is of particular importance," says Baqaei, referring to the ten points of American concessions that Iran wants to see in order to agree to peace.
Don't touch Lebanon
Baqaei also gives Trump a pat on the back for his many messages via Truth Social.
Opening and closing the Strait of Hormuz is not done on the internet, it is decided on the ground, and our armed forces really know how to respond to the actions of the other side.
The agreement being hammered out does not touch on Israel's war with Lebanon, Trump points out, and he says the US will separately "work" with Lebanon. He adds that Israel "will no longer bomb Lebanon."
The US president writes, partly in capital letters, that "They (Israel) are forbidden by the US to do so. Enough is enough!!!"
