The diplomacy aims to end a conflict that has inflicted massive devastation in Lebanon since Israel went on the offensive against Hezbollah in September.
Prime Minister Benjamin Netanyahu was blunt about that strategy, telling the Knesset plenum on Monday, that Israel was negotiating under fire.
Hochstein spoke amid the Biden administration's optimism that an opportunity to end the war in Lebanon is close.
"This is not just another routine agreement," emphasized Prof. Baram. "This time, Israel is demanding more aggressive conditions."
On Monday, it was reported that Lebanon and Hezbollah have agreed to a US proposal for a ceasefire with Israel.
US special envoy Amos Hochstein is due to arrive in Lebanon on Tuesday to discuss the proposal, according to the LBCI site.
The key point concerns the establishment of a committee to oversee the implementation of UN Resolution 1701. Berri added that the wording in the agreement is not acceptable to Lebanon.
Any effort to reach a ceasefire would need a green light from Hezbollah, which has ministers in Lebanon's cabinet and whose members and allies hold a significant number of seats in parliament.
Hezbollah agrees to withdraw beyond Litani River as US pushes for pre-election deal, but Israeli officials remain skeptical
The latest diplomatic push comes amid efforts to halt hostilities between Israel and Hezbollah.