An alternative resolution that calls for an urgent humanitarian ceasefire is reportedly being considered by Washington for veto, according to Reuters. There are worries that this resolution could endanger negotiations between the US, Egypt, Israel, and Qatar.
Although the word "ceasefire" has not been used by US officials at the UN until today, President Joe Biden's tone in his discussions with Israeli Prime Minister Benjamin Netanyahu is reflected in the revised text.
If passed, the Security Council would "underscore its support for a temporary ceasefire in Gaza as soon as practicable, based on the formula of all hostages being released, and call for lifting all barriers to the provision of humanitarian assistance at scale".
It would need nine votes in favour and no vetoes by the US, France, the UK, Russia and China to be enacted.
The text adds: "Under current circumstances a major ground offensive into Rafah would result in further harm to civilians and their further displacement including potentially into neighbouring countries."
More than one million Palestinians have sought shelter in Rafah - and there is international concern that such an offensive would exacerbate the humanitarian crisis.
Speaking in the Falkland Islands, Foreign Secretary Lord Cameron also called for "a stop to the fighting right now" in Gaza - and cautioned against an offensive in Rafah.
He said hostages should be released, and humanitarian aid should be allowed to flow in, "straight away".
Lord Cameron added: "We are going to have to see Hamas leaders leave Gaza, we are going to have to see the machinery of terrorism taken down, we are going to have to see a proper horizon for the Palestinian people, a new Palestinian government.
"But let's make that happen, let's have the stop to the fighting now, have that hostage release and then build on it from here. That's what we need to happen rather than an offensive in Rafah."
Ceasefire negotiations have been struggling in recent weeks, with little signsof progress.