A Hezbollah official said Wednesday that any U.S.-brokered cease-fire deal between the group and Israel must end fighting swiftly and must preserve Lebanon's sovereignty, an apparent reference to Israel's stance that it will keep striking the Iran-backed group even with a truce in place.

Speaking to Hezbollah's Al-Manar TV, Mahmoud Qmati said he was neither overly optimistic nor overly pessimistic about the prospects of a truce.

U.S. envoy Amos Hochstein is traveling to Israel on Wednesday to try to secure a cease-fire ending the war with Lebanon's Hezbollah group after declaring additional progress in talks in Beirut.

Hochstein arrived in Beirut on Tuesday, seeking to clinch a ceasefire agreement after the Lebanese government and Hezbollah agreed to a U.S. cease-fire proposal, although with some comments.

"The meeting today built on the meeting yesterday, and made additional progress," Hochstein said after his second meeting with Parliament Speaker Nabih Berri, endorsed by the Iran-backed Hezbollah to negotiate.

"So I will travel from here in a couple hours to Israel to try to bring this to a close if we can," Hochstein said.

The diplomacy aims to end a conflict that has inflicted massive devastation in Lebanon since Israel went on the offensive against Hezbollah in September, mounting airstrikes across wide parts of the country and sending in troops.

Israel says its aim is to secure the return home of tens of thousands of people evacuated from its north due to rocket attacks by Hezbollah, which opened fire in support of Hamas at the start of the Gaza war in October 2023.

Hezbollah, still reeling from the killing of its leader Hassan Nasrallah and other commanders, has kept up rocket fire into Israel, targeting Tel Aviv this week, and its fighters are battling Israeli troops on the ground in the south.

Although diplomacy to end the Gaza war has largely stalled, the Biden administration aims to seal a cease-fire in the parallel conflict in Lebanon before President-elect Donald Trump takes office in January.

"We are going to work with the incoming administration. We're already going to be discussing this with them. They will be fully aware of what we're doing," Hochstein said.

Diplomats aim to restore a cease-fire based on a U.N. resolution that ended an earlier conflict in 2006. Israel has said it wants the freedom to act against Hezbollah if it deems it necessary, even after any truce is agreed. Lebanon rejects this.

"The condition for any diplomatic settlement in Lebanon is preserving our intelligence capabilities and the (Israeli military's) right to act and protect Israel's citizens from Hezbollah," Israeli Defence Minister Israel Katz told intelligence officers at a meeting on Wednesday.

Hezbollah Secretary General Naim Qassem is due to give a speech at 4 p.m., Hezbollah's media office said.

UN Resolution

Hezbollah lawmaker Hassan Fadlallah, in an interview with Lebanese broadcaster Al Jadeed, said he did not want to announce expectations about the chances of a deal being sealed. Hezbollah was working to "make the political track succeed on national foundations," he added.

Berri has said language about Israeli freedom to act was not included in the draft U.S. proposal submitted to him last week.

U.N. Security Council resolution 1701 requires the Lebanese state to have a monopoly on arms in the area between border and the Litani River, some 30 km (20 miles) north of it. This means Hezbollah should have no military presence near the frontier.

Israel has long complained the resolution was not implemented and Hezbollah remained armed at the border. Lebanon also accused Israel of regularly violating the resolution.

The casualty toll since Oct., 2023 stands at 3,544 people killed in Lebanon, including 902 women and children, the Lebanese health ministry says, the majority of them killed during the Israeli offensive since September. The figures do not distinguish between combatants and civilians.

Hezbollah strikes have killed 43 civilians in northern Israel and the Israeli-occupied Golan Heights, while 73 soldiers have been killed in strikes in northern Israel and the Golan Heights and in combat in southern Lebanon, according to Israel.