The Gaza war's reported Palestinian death toll neared 30,000 Wednesday as fighting raged in the Hamas-run territory despite mediators insisting a truce with Israel could be just days away.

Another 91 people were killed in overnight Israeli bombardment, the health ministry said.

Mediators from Eygpt, Qatar and the United States have been trying to find a path to a ceasefire amid the bitter fighting, with negotiators seeking a six-week pause in the nearly five-month war.

After a flurry of diplomacy, mediators said a deal could finally be within reach -- reportedly including the release of some Israeli hostages held in Gaza since Hamas's October 7 attack in exchange for several hundred Palestinian detainees held by Israel.

"My hope is by next Monday we'll have a ceasefire" but "we're not done yet", US President Joe Biden said on Tuesday.

Qatari foreign ministry spokesman Majed al-Ansari said Doha was "hopeful, not necessarily optimistic, that we can announce something" before Thursday.

But he cautioned that "the situation is still fluid on the ground".

Hamas had been pushing for the complete withdrawal of Israeli forces from Gaza -- a demand rejected outright by Israeli Prime Minister Benjamin Netanyahu.

But a Hamas source, speaking on condition of anonymity, said that the deal might see the Israeli military leave "cities and populated areas", allowing the return of some displaced Palestinians and humanitarian relief.

Israel's military campaign in Gaza has killed at least 29,954 people, mostly women and children, according to the territory's health ministry.

The war was triggered by an unprecedented Hamas attack on southern Israel that resulted in the deaths of around 1,160 people, mostly civilians, according to an AFP tally of official figures.

Militants also took about 250 hostages, 130 of whom remain in Gaza, including 31 presumed dead, according to Israel.

Since the war began, hundreds of thousands of Gazans have been displaced, with nearly 1.5 million people now packed into the far-southern city of Rafah, where Israel has warned it plans to launch a ground offensive.

Those who remain in northern Gaza have been facing an increasingly desperate situation, aid groups have warned.

"If nothing changes, a famine is imminent in northern Gaza," the World Food Programme's deputy executive director Carl Skau told the UN Security Council Tuesday.

His colleague from the UN humanitarian office OCHA, Ramesh Rajasingham, warned of "almost inevitable" widespread starvation.

The WFP said no humanitarian group had been able to deliver aid to the north for more than a month, with aid blocked from entering by Israeli forces.

"I have not eaten for two days," said Mahmud Khodr, a resident of Jabalia refugee camp in the north, where children roamed with empty pots.

"There is nothing to eat or drink."

Most aid trucks have been halted, but foreign militaries have air dropped supplies including on Tuesday over Rafah and Gaza's main southern city Khan Yunis.

What aid does enter Gaza passes through the Rafah border crossing from Egypt, fuelling a warning from UN chief Antonio Guterres that any assault on the city would "put the final nail in the coffin" of relief operations in the territory.

Israel has insisted it would move civilians to safety before sending troops into Rafah but it has not released any details.

Egypt has warned that an assault on the city would have "catastrophic repercussions across the region", with Cairo concerned about an influx of refugees.

Israeli military spokesman Rear Admiral Daniel Hagari said Tuesday that Israel will "listen to the Egyptians and their interests", adding that Israel "cannot conduct an operation" with the current large population in Rafah.

Ahead of the threatened ground incursion, the area has been hit repeatedly by Israeli air strikes.

The army said it had "killed a number of terrorists and located weapons" in Zeitun.

It said two more soldiers had died in the fighting in Gaza, taking its overall toll to 242 since the start of the ground offensive on October 27.

Israel's military campaign in Gaza has killed nearly 30,000 people, according to the territory's health ministry
Israel's military campaign in Gaza has killed nearly 30,000 people, according to the territory's health ministry AFP
Since the war began, hundreds of thousands of Gazans have been displaced
Since the war began, hundreds of thousands of Gazans have been displaced AFP
Some foreign armies have air dropped supplies including into Gaza
Some foreign armies have air dropped supplies including into Gaza AFP
Number of humanitarian aid trucks entering the Gaza Strip every day since October 21, 2023, according to the UN Office for the Coordination of Humanitarian Affairs (OCHA)
Number of humanitarian aid trucks entering the Gaza Strip every day since October 21, 2023, according to the UN Office for the Coordination of Humanitarian Affairs (OCHA) AFP