The Israeli military said on Tuesday that 31 hostages in Gaza have been killed since the Hamas attacks with 136 believed to still be held in the region.
“We need that deal to happen now,” Ms Lifschitz said. “If it does not come through, it will be a longer wait and many of the hostages simply cannot survive it.”
Raz Matalon, Stephen Brisley and Sharon Sharabi, all relatives of captives being held in Gaza, also warned time was running out and urged stakeholders to secure a deal.
Mr Brisley, of Bristol, said he was speaking as a family member of kidnapped civilians and urged “all stakeholders” to reach a ceasefire and exchange deal.
Qatar, which acts as a negotiator between Israel and Hamas, said the militant group had a “generally positive” response to proposals for a break in the fighting and release of Palestinian prisoners for the return of more Israeli hostages.
The deal, drawn up more than a week ago by US and Israeli spy chiefs at a meeting with the Egyptians and Qataris, would secure the release of remaining hostages held by militants in Gaza in return for a long pause to fighting and further release of Palestinian prisoners.
The US secretary of state, Antony Blinken, speaking with the Qatari PM on his fifth tour of the region since the 7 October attacks, said he would discuss Hamas’s response with Israel on Wednesday.
“There’s still a lot of work to do be done, but we continue to believe that an agreement is possible, and indeed essential,” Mr Blinken said.
While Mr Blinken gave no indication of how the US views the response, President Joe Biden described it as “a little over the top” - suggesting the Israeli leadership will not easily agree to what the group is asking.
As of 30 November, the final day of the last ceasefire, 105 civilian hostages had been released from Gaza which included 81 people from Israel, 23 Thais and one Filipino.
Speaking about the 31 killed, Rear Admiral Daniel Hagari, a spokesman for the Israel Defense Forces (IDF), said their families had been informed and that the authorities would continue to push for the return of the remaining captives.
“This is a moral obligation, national obligation and international obligation and this is our compass and this is how we will continue operating,” said Mr Hagari.
Hamas says it must produce a definitive end to the war. Israel says it will not halt the war permanently until Hamas is destroyed.
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