The CIA has assessed that the leader of Hamas in Gaza, Yahya Sinwar, is coming under increased pressure from his own military commanders to accept a ceasefire deal and end the war with Israel, CIA Director Bill Burns told a closed-door conference on Saturday, according to a source who attended.

Sinwar, the key architect of the October 7 massacre in Israel, is not “concerned with his mortality” but is facing pressure about being blamed for the enormity of the suffering in Gaza, Burns said at the conference, the source said.

US intelligence officials believe Sinwar is hiding in the tunnels beneath his birthplace, Khan Younis in Gaza, and is the key decision maker for Hamas on whether to accept a deal.

Burns – who for months has conducted feverish negotiations as the Biden administration’s point person – said it was incumbent on both the Israeli government and Hamas to take advantage of this moment, more than nine months since the war started, to reach a ceasefire.

But the internal pressure Sinwar is now facing is new in the past two weeks, including the calls from his own senior commanders who are tiring of the fight, Burns said, according to the attendee who was granted anonymity to discuss the off-the-record conference.

The CIA director was speaking at the annual Allen & Company summer retreat in Sun Valley, Idaho, sometimes called a “summer camp for billionaires” because of its glitzy guest list of tech moguls, media titans and senior government officials who are invited to the secretive week-long event.

The CIA declined to comment.

The increased pressure on Sinwar comes as Hamas and Israel have agreed to a framework deal that that President Joe Biden laid out at the end of May. That’s what US officials have said is being used as the basis to an agreement to end the fighting.

Burns had just returned from his latest trip last week to the Middle East to try to further the negotiations over a Gaza ceasefire and hostage deal, meeting with mediator counterparts from Qatar and Egypt, as well as Israel’s head of foreign intelligence.

On Saturday Burns said that there is a “fragile possibility before us” and that the chances of a ceasefire being agreed are greater than they have been, months after a brief temporary truce saw dozens of hostages freed in November. But he emphasized that the final stage of negotiations are always difficult.

The renewed push comes after the previous discussions fell apart in May following a similar flurry of meetings and travel by Burns in the region.

Israeli Prime Minister Benjamin Netanyahu is also facing immense domestic pressure to strike a deal that would bring home the remaining hostages held in Gaza. Thousands of Israeli protesters regularly take to the streets of Tel Aviv demanding the government focus on the return of the hostages rather than the military campaign.

‘Gaps to close’

“There are still gaps to close, but we’re making progress, the trend is positive,” Biden said on Thursday, “and I’m determined to get this deal done and bring an end to this war, which should end now.”

Israel’s campaign in Gaza has killed more than 38,000 Palestinians, according to Gaza’s Ministry of Health. Thousands are believed missing under the rubble and hundreds of thousands more face disease, famine and lack of shelter, according to aid organizations.

Beyond the enormous amount of detail being hashed out in the potential agreement, talks are routinely slowed by the difficulties of getting messages to and from Sinwar as Israel tries to hunt him down.

Of the three most senior Hamas leaders in Gaza, Israel is believed to have found and killed just one: Marwan Issa, the second in command of the military wing. Its military chief, Mohammed Deif, was targeted by Israel in a bombing on Saturday that killed almost 100 Palestinians and wounded hundreds more, according to Palestinian health officials.

Neither Israel nor the US has determined whether Deif was successfully targeted.

US officials believe that Sinwar no longer wants to rule Gaza and both Israel and Hamas have signed on to an “interim governance” plan that would begin in the second phase of a ceasefire in which neither of them would control Gaza, a US official told CNN.

Qatar has also made clear they would kick out Hamas’ political leadership from their longtime external base if the militant group doesn’t sign on to the plan, US officials say.

In Hamas communications seen and reported recently by the Associated Press, senior Hamas leaders inside Gaza called on external figures from the group to accept Biden’s ceasefire proposal, citing heavy losses and dire conditions in Gaza.

Perhaps an indication of their eagerness to end the fighting, Hamas recently backed off their key demand that a ceasefire agreement include assurances it would then lead to a permanent ceasefire, long a sticking point in the talks that Israel had refused.

Netanyahu then insisted that any deal must allow Israel to return to fighting until its war objectives are met.

That means a pause in the fighting could start, which would see both some Israeli hostages and Palestinian prisoners released, before Israel re-launches military operations.

The framework Biden proposed says that a permanent ceasefire would be negotiated during the first phase of a pause in the fighting, which would continue as long as negotiations do.

On the same day the Burns was speaking, Netanyahu said at a news conference that he would not move “one millimeter” from the framework laid out by Biden while claiming Hamas had requested 29 changes to the proposal, but he refused to make any.

There are still “tough issues to resolve,” a source familiar with the talks told CNN after Burns’ meetings in Doha. A second source agreed, saying there’s “still a long time to go.”