The United States has put forward a new proposal that would secure the release of a handful of living hostages held by Hamas in exchange for a month-long extension of the Israel-Hamas ceasefire, a source familiar with the negotiations said.

The two sides are supposed to negotiate a second phase of the cease-fire agreement that would end the war, but they remain far apart on how to move forward.

Hundreds of aid trucks have entered Gaza daily since the ceasefire began on Jan. 19​, and it was unclear what the immediate impact of the aid cutoff would be.