"We are going to do everything we can in this round to get all the American hostages, living and dead, out," Ambassador Jacob J. Lew tells NPR. His tenure as President Biden's envoy ends this month.

The deal would secure release of a third of the approximately 100 hostages who remain in Gaza, including two dual U.S.-Israeli nationals. In return, Israel would release some Palestinian prisoners.

Israel said Monday that Hamas had not yet provided the status of 34 hostages the group declared it was ready to release in the first phase of a potential exchange deal.Late on Sunday, a senior Hamas official told AFP the group had "agreed to release 34 Israeli prisoners from a list presented by Israel as part of the first phase of a prisoner exchange deal".