The US is considering dealing directly with Hamas to get the remaining four American hostages out of Gaza.

Relatives of hostages still held by Hamas have been calling for the US to break with Israel and hold talks on separate deal.

It is not clear how a deal would work and what the US would offer in exchange, but any negotiations would significantly undermine Benjamin Netanyahu’s government.

An Israeli official told The Telegraph that “Washington has already began looking at” a unilateral hostage deal.

The American hostages in Gaza who are still believed to be alive are Eden Alexander, 20, Sagui Dekel-Chen, 35, Omer Neutra, 22, and 74-year-old Keith Siegel.

Antony Blinken, the US Secretary of State, said nearly 90 per cent of ceasefire details had been agreed on. Tension has been rising between the White House and Mr Netanyahu’s office about a deal.

“In the coming days, we will share with Israel, and they [Qatar and Egypt] will share with Hamas, our thoughts – the three [mediators] – on exactly how to resolve the remaining outstanding questions, and then it will be time for the parties to decide yes or no, and then we’ll see,” said Mr Blinken.