Israel-Gaza-Lebanon live updates: IDF issues south Lebanon warning after ceasefire

A cease-fire between Israel and Hezbollah would begin soon after its announcement, with the aim of achieving a permanent cease-fire after 60 days, according to an Israeli source with knowledge of the potential deal.

The U.S. will head a committee, joined by French and Arab partners, to monitor and verify the implementation of the ceasefire, the source said.

Prime Minister Benjamin Netanyahu will hold a security cabinet meeting Tuesday to discuss the deal and hold a cabinet vote, Israeli officials said.

There is almost unanimous support in the cabinet for the U.S.-brokered cease-fire deal, and it is expected to be approved. Far-right leader Ben Gvir is expected to vote against it.

-ABC News' Jordana Miller

The U.S. is hopeful that Israel and Hezbollah are close to a cease-fire deal, but striking a pact "is up to the parties, not to us," State Department spokesperson Matthew Miller said in a briefing Monday.

"We don't believe we have an agreement yet. We believe we're close to an agreement. We believe that we have narrowed the gap significantly, but there are still steps that we need to see taken, but we hope -- we hope that we can get there," Miller said.

Echoing comments earlier Monday by White House National Security spokesperson John Kirby, Miller emphasized that "nothing's final until everything's final."

"Oftentimes the very last stages of an agreement are the most difficult, because the hardest issues are left to the end," Miller said.

-ABC News' Chris Boccia

Israeli forces conducted strikes Monday in the southern suburbs of Lebanon's capital Beirut and in southern Lebanon as talks of a cease-fire between Hezbollah and Israel continued on both sides.

At least 31 people were killed and 62 others injured in the strikes on southern Lebanon, the Lebanese Ministry of Public Health said in a post on X.

-ABC News' Jordana Miller

There are no indications that Prime Minister Benjamin Netanyahu intends to call in his cabinet and vote to approve the Lebanon cease-fire Monday night, Israeli officials told ABC News.

Netanyahu is planning a series of meetings Tuesday to discuss the Lebanon cease-fire deal, including talks with his minister of strategic affairs, former American ambassador Ron Dermer, along with his most senior defense officials.

Later in the afternoon, Netanyahu will hold a larger cabinet meeting that includes the far-right. That meeting may lead to a final vote to approve a deal, though that remains unclear. A deal can pass even if one of the two far-right leaders opposes it.

The cease-fire would last for 60 days, but would not require the Israel Defense Forces to withdraw right away.

-ABC News' Joe Simonetti and Jordana Miller