International mediators have been working for weeks to broker a deal to pause the fighting before the Muslim holy month of Ramadan begins around March 10. A deal would likely allow aid to reach hundreds of thousands of desperate Palestinians in northern Gaza who aid officials worry are under threat of famine.

The Israelis “have more or less accepted” the proposal, which includes the six-week cease-fire as well as the release by Hamas of hostages considered vulnerable, which includes the sick, the wounded, the elderly and women, said the official.

“Right now, the ball is in the court of Hamas and we are continuing to push this as hard as we possibly can,” the official said, speaking on condition of anonymity under ground rules set by the White House to brief reporters.