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

President Biden said he "hopes" to have a cease-fire in Gaza by March 4.

"I hope by the end of the weekend," the president told reporters Monday. "My national security advisor tells me that we’re close, it's not done yet. My hope is by next Monday we’ll have a ceasefire."

The comments came during a stop at Van Leeuwen’s ice cream shop in New York City as the president visited NBC "Late Night" host Seth Meyers.

State Department spokesperson Matt Miller said Monday that there’s been "progress" in hostage talks over the last few days, but he said it’s unclear whether Hamas would accept the latest proposal.

"We’ve had progress with the conversations we've had between Egypt, Israel, the United States and Qatar," Miller said.

He was then asked if they might reach a deal before Ramadan, which begins on March 10.

"I can't make that assessment because it depends on Hamas. We believe a deal is possible and we hope Hamas will agree to one," he said.

-ABC News’ Shannon Crawford

Hours after the U.S. Department of Defense conducted its first combined humanitarian assistance airdrop in Gaza with the Royal Jordanian Air Force, senior administration officials asserted this would be part of a sustained effort to scale up life-saving aid into Gaza and confirmed significant progress on a six-week hostage ceasefire deal currently in the hands of Hamas.

Senior administration officials said they are exploring every channel possible to get assistance into Gaza and that the Department of Defense is currently planning additional drops. However, they say their biggest obstacle is opening more avenues to get aid into Gaza, including a martine route that would deliver assistance directly by sea.

"We're looking at the land routes, we're looking at the sea route, we're looking at the air route, to really ensure that we're exploring every opportunity to get assistance in," officials said Saturday.

Officials confirmed this was the first U.S. airdrop conducted in Gaza since the war began and that U.S. and Jordanian C-130 aircraft were operated jointly out of Jordan to distribute aid.

Administration officials suggested the removal of police from the U.N. and other humanitarian convoys has exacerbated the lawlessness already prevalent in the region as gangs allegedly take and resell aid. Officials said the way to address this problem is by flooding the market with aid to discourage the commercialization of assistance.

Officials said a ceasefire is essential for the distribution of life-saving aid throughout Gaza. A deal is on the table and in the hands of Hamas, according to officials.

Senior administration officials told reporters there would be a six-week ceasefire as soon as today if Hamas agreed to release a defined category of vulnerable hostages, which include the sick, elderly, and women.

When asked about the specifics of these progressions towards a ceasefire hostage deal, admin officials said they'd worked hard with the Israelis to develop a framework which the admin believes is now "in the zone of a compromise amongst all the positions that had been on the table," after several meeting in Israel last week.

Admin officials hope to have this deal in place by Ramadan, confirming significant progress has been made over the last few weeks.

"The onus right now is on Hamas, their talks still underway," a senior admin official said Saturday.

They continued, "There has been significant progress over the last few weeks. But like all things, until the deal is actually done, It's not done. The Israelis have basically signed on to the elements of the arrangement. And right now, the ball is in the court of Hamas, and we are continuing to push this as hard as we possibly can."

-ABC News' Noah Minnie