Hamas says it has agreed to a new Gaza ceasefire proposal as mediators from Qatar and Egypt push to renew talks ahead of a major Israeli assault on Gaza City.

Israel is studying Hamas' response to a Gaza ceasefire proposal, two officials said on Tuesday of a potential deal for a 60-day truce and the release of half the Israeli hostages still held in the battered enclave.

The proposal from regional mediators would see Israeli hostages released in two batches during a 60-day truce, according to a Palestinian official.