Senior White House adviser Jared Kushner said on Wednesday that Saudi Arabia and Bahrain would allow Israeli flights to pass over their territory.
Mr Kushner said he had been told of the decisions by the two countries to open their airspace to all traffic to and from the UAE during his trip to the region last week, which included stops in Saudi Arabia and Bahrain.
"[Saudi Arabia] agreed to open their airspace ... to all eastward travel," he said.
"Bahrain, the next day, we were there, they did the same thing where they opened up their airspace."
But Mr Kushner claimed that any Israeli flights would have to ask for a permit from Saudi authorities beforehand.
Spokespeople for the Saudi and Bahraini embassies in Washington were not immediately available for comment.
Mr Kushner spoke of changes in the region, less than a week away from the signing ceremony Abraham Accord between the UAE, Israel and the US, due to be held at the White House.
“Countries are starting to let go of old conflicts and move in the direction of peace,” he said.
He said the administration of President Donald Trump would be ready to sit down with the Palestinians when they were willing to come to the table, but it was not pressuring them to do so.
“We have chosen not to chase them but the moment that they're ready to engage, we believe that we have the ability to make a peace deal between them and Israel,” Mr Kushner said.
The Palestinian Authority cut diplomatic ties with the US after President Trump moved his country’s embassy to Jerusalem in 2018.
Mr Kushner said the White House ceremony on Tuesday between the UAE and Israel would be a landmark moment for US policy.
"This is something that should be bipartisan," he said. "We will invite Democrats or Republicans to be here.”
Leaders of both parties have praised the agreement and will be invited to the ceremony, Mr Kushner said.
But as far as the Israeli and Emirati delegations are concerned, that would be up to each of the individual countries to decide.
Mr Trump was nominated on Wednesday for the 2021 Nobel Peace Prize by Christian Tybring-Gjedde, a member of the Norwegian Parliament, for his efforts in brokering the peace agreement.
Mr Kushner, who is also Mr Trump’s son-in-law, said that the US President felt “very, very, very honoured to be nominated this morning for the Nobel Peace Prize”.
The signing ceremony will be held on Tuesday at the White House.
Mr Trump will be joined by the UAE Minister for Foreign Affairs and International Co-operation, Sheikh Abdullah bin Zayed, and Israeli Prime Minister Benjamin Netanyahu.