Even though the civilian death toll in the Palestinian territory is mounting and living conditions are described as catastrophic amid Israel's bombardment, the outcome of the session is up in the air.
In a letter to the council on Wednesday, Guterres took the extraordinary step of invoking the UN charter's Article 99, which states that the secretary-general may bring to the attention of the council "any matter which in his opinion may threaten the maintenance of international peace and security."
No one in his job had done this in decades.
Guterres wrote: "Amid constant bombardment by the Israel Defense Forces, and without shelter or the essentials to survive, I expect public order to completely break down soon due to the desperate conditions, rendering even limited humanitarian assistance impossible."
He called for a "humanitarian ceasefire" to prevent "a catastrophe with potentially irreversible implications for Palestinians" and the entire Middle East.
UN spokesman Stephane Dujarric expressed hope that the council will heed Guterres' urgent appeal.
Dujarric said that since Wednesday the UN chief has spoken with US Secretary of State Antony Blinken and British Foreign Secretary David Cameron and their counterparts from several other countries.
Israel has been pushing forward with a brutal air and ground invasion of the Gaza Strip that has so far killed more than 17,000 people, mostly women and children, according to the Palestinian health ministry.
Israel's relentless bombardment and shelling has reduced much of Gaza to rubble displacing nearly 2 million people from their homes, with 1.3 million people currently living in overcrowded shelters and others on the streets.
Moreover, Israel is severely restricting the entry of food, water, fuel and medicine, which has aggravated the humanitarian crisis and sparked fears of an outbreak of epidemic diseases and starvation.
After Guterres sent his urgent letter, the United Arab Emirates prepared a draft resolution that will be put to a vote on Friday, said the delegation from Ecuador, which chairs the council this month and thus decides on scheduling issues.
The latest version of this document seen Thursday by AFP calls the humanitarian situation in Gaza "catastrophic" and "demands an immediate humanitarian ceasefire."
The short text also calls for protection of civilians, the immediate and unconditional release of all captives held by Hamas, and humanitarian access to the Gaza Strip.
But the outcome of a vote is not clear -- four earlier drafts presented since the war broke out were rejected by the Security Council.
The council finally managed to speak out on the war in mid-November as it approved a resolution calling for "humanitarian pauses and corridors" in Gaza -- not a ceasefire.
The United States, Israel's most powerful ally, which vetoed one of the earlier draft resolutions and rejects the idea of a ceasefire, has said a new resolution from the council at this stage would not be "useful."
"Our position hasn't changed," said the deputy US ambassador, Robert Wood.
"We again think that the best thing that we can do, all of us, for the situation on the ground, is to let the quiet behind-the-scene diplomacy that is going continue," Wood said.
Agnes Callamard, secretary general of Amnesty International, said "the US and all other members of the UN Security Council have a clear obligation under international law to prevent atrocities."
"There can be no justification for continuing to block meaningful action by the UN Security Council to stop massive civilian bloodshed, the complete collapse of the humanitarian system, and even worse horrors resulting from the breakdown of public order and massive displacement," she added.
The Palestinian ambassador to the UN, Riyad Mansour, said "we sincerely hope that the Security Council will adopt that resolution and will listen to brave, courageous, principled position of the secretary-general."
Israeli Foreign Minister Eli Cohen on Wednesday said Guterres' tenure was "a danger to world peace" after he invoked Article 99.
*This story was edited by Ahram Online