Hamas is expected to release 33 hostages during the first phase of an emerging ceasefire agreement being finalized by negotiators in Doha, two Israeli officials said, according to CNN.

Israel believes that most of the 33 hostages are alive, a senior Israeli official told reporters on Monday, but the bodies of dead hostages will also likely be among those released during the initial 42-day ceasefire. Hamas and its allies still hold 94 hostages taken from Israel during the attacks of October 7, 2023, at least 34 of whom are dead, according to the Israeli government.

The senior Israeli official said that the parties appear to be on the verge of an agreement and that Israel is prepared to immediately implement the deal once it has been inked.

US President Joe Biden expressed similar optimism in a speech Monday focused on foreign policy, saying the US was “pressing hard to close this.”

“The deal we have structured would free the hostages, halt the fighting, provide security to Israel, and allow us to significantly surge humanitarian assistance to the Palestinians who suffered terribly in this war that Hamas started. They have been through hell,” Biden said.

A diplomat close to the negotiations told CNN a final round of proximity talks to finalize any issues was scheduled to take place in Doha on Tuesday. The same day, some of the hostages’ families have been invited to meet Israeli Prime Minister Benjamin Netanyahu, according to the Hostages and Missing Families Forum.

Qadura Fares, the head of the Palestinian Commission for Detainees and Ex-Detainees, told CNN on Monday that he was traveling to Doha to advise negotiators on the list of detainees to be released “in the event the deal materializes.”

The release of the 33 hostages would be the first phase of the deal being finalized. Negotiations to reach the second phase – which is intended to end the war – would begin on the 16th day of the implementation of the deal.

Under the latest proposals, Israeli forces would maintain a presence along the Philadelphi Corridor – a narrow strip of land along the Egypt-Gaza border – during the first phase of the agreement, the officials said. The presence of Israeli troops along the corridor previously contributed to sinking a potential deal in September during the last round of negotiations.

Israel would also maintain a buffer zone inside Gaza along the border with Israel, the official said, without specifying how wide that zone would be – another subject of contention during the negotiations. A Hamas official told CNN earlier that the group wanted the buffer zone to return to the pre-October 7 size of 300-500 meters (330-545 yards) from the border line, while Israel was requesting 2,000 meters.