A senior Israeli political source told ABC News on Tuesday that Israeli Prime Minister Benjamin Netanyahu was "surprised" by President Joe Biden's remarks that he was hopeful a cease-fire between Israel and Hamas could be in place "by next Monday."

Netanyahu said in a statement later on Tuesday, "Since the beginning of the war, I have been leading a political campaign whose purpose is to curb the pressures intended to end the war before its time, and on the other hand also to gain support for Israel."

"We have significant successes in this area, because today the Harvard-Harris survey is published in the United States, which shows that 82% of the American public supports Israel," he continued. "This gives us two more strength to continue the campaign until the complete victory."

-ABC News' Zoe Magee, Jordana Miller and Morgan Winsor

An Israeli official told ABC News on Tuesday that the United Nations Relief and Works Agency for Palestine Refugees in the Near East (UNRWA) is "intertwined with terror and needs to be dissolved."

"Their sole goal was to perpetuate the Palestinian refugee problem," the official said. "Their compliance with Hamas terrorism and incitement was exposed. Any prospect for peace depends on dissolving UNRWA."

The Israeli official said humanitarian aid in the war-torn Gaza Strip should be provided by people "who are not associated with Hamas or UNRWA."

ABC News has reached out to UNRWA for comment.

In a dossier released in late January, the Israeli military alleged that 13 UNRWA employees participated in the Hamas-led Oct. 7 terror attack on Israel.

UNRWA has said it is investigating the allegations and took swift action against those accused of being involved in the attack. However, the United States and other top donors have suspended their funding to the agency, which is the biggest humanitarian aid provider in Gaza.

-ABC News' Jordana Miller and Morgan Winsor

A spokesperson for the Qatari Ministry of Foreign Affairs said Tuesday that there is no breakthrough to announce concerning a potential deal between Israel and Hamas on a cease-fire and hostage release.

"Many developments have occurred. Nothing to announce today, but we feel optimistic," the spokesperson told reporters.

The spokesperson said the talks remain "ongoing" and they cannot comment on U.S. President Joe Biden's remarks that a deal is expected by next Monday.

Qatar, along with Egypt and the United States, has been mediating talks between the warring sides.

-ABC News' Emma Ogao and Morgan Winsor

An Israeli official told ABC News on Tuesday that Hamas' demands in ongoing negotiations "are still delusional."

"Military pressure and determined negotiation have helped free 112 hostages to date. Israel will get the remaining hostages home," the official said. "A deal was done in November and another deal can be made once Hamas comes to reality. Hamas demands are still delusional."

-ABC News' Jordana Miller and Morgan Winsor

More than 30,000 people have been killed in the Gaza Strip since the latest outbreak of war between Hamas and Israel began on Oct. 7, according to Gaza's Hamas-run Ministry of Health.

Over 70,000 others have been injured in Gaza since Oct. 7, the health ministry said in a statement on Thursday morning.

Of those killed, 75% are children, women and elderly people, according to a separate statement from Hamas.

The World Health Organization, the global health arm of the United Nations, also confirmed the grim milestone with Director-General Tedros Adhanom Ghebreyesus writing in a post on X, the social media platform formerly known as Twitter, that "a large majority" of those killed in Gaza are "women and children."

Tedros called for a cease-fire, saying: "This horrific violence and suffering must end."

-ABC News' Morgan Winsor