Secretary of State Antony Blinken spoke emotionally Tuesday about the Americans directly impacted by the Israel-Hamas war, touching on both the hostages still held captive and the aid workers killed in Gaza.

At a news conference with his United Kingdom counterpart, David Cameron, Blinken was asked about Rachel Goldberg, whose 23-year-old son, American-Israeli Hersh Goldberg-Polin, was captured by Hamas. Goldberg is asserting that negotiators have failed.

"I know Rachel well. If I were sitting in her shoes, I'd undoubtably be feeling and saying the same thing," Blinken said. "Because until the day that Hersch is home, we will not have succeeded in doing what we're determined to do -- which is to bring him and bring all the hostages back."

Blinken also said he spoke with the family of Jacob Flickinger, a 33-year-old dual U.S.-Canadian citizen who was one of the seven World Central Kitchen aid workers killed by an Israeli strike in Gaza last week.

"I spoke over the weekend to Jacob's father and to his partner. I heard directly from them," he said. "Separately, Jacob leaves an 18-month-old son. Leaving everything else aside, just on a purely human level, my heart goes out to that family and to that little boy who now has no father."

-ABC News’ Shannon Crawford

Asked about Israeli Prime Minister Benjamin Netanyahu’s claim that Israel had set a date for its offensive in Rafah in southern Gaza, Secretary of State Antony Blinken told reporters Tuesday that the U.S. was in the dark. But Blinken added that he doesn't think the operation is imminent.

"No, we do not have a date for any Rafah operation -- at least one that's been communicated to us by the Israelis," Blinken said at a news conference with his United Kingdom counterpart, David Cameron. "On the contrary, what we have is an ongoing conversation with Israel about any Rafah operation. The president has been very clear about our concerns -- our deep concerns about Israel's ability to move civilians out of harm’s way."

Blinken said he expected talks between Israeli and American officials on the matter would press on into next week and that he didn’t want to "prejudge" an outcome.

"I don't anticipate any actions being taken before those talks," he said. "I don't see anything imminent."

As other Biden administration officials have done, Blinken stressed that the administration’s evaluation of Israel’s efforts to meet dire humanitarian needs in Gaza would be ongoing, and that officials would be "looking at a number of critical things that need to happen in the coming days."

Blinken said that list of items includes: opening a new portal for aid in northern Gaza; using Israel’s Port of Ashdod to bring in supplies on a regular basis; maximizing the flow of assistance from Jordan; repairing water lines throughout Gaza; and "putting in place a much more effective deconfliction mechanism with the humanitarian groups that are providing assistance."

-ABC News’ Shannon Crawford

Senate Minority Leader Mitch McConnell is claiming President Joe Biden is caving to political pressure on Israel.

McConnell criticized Biden for expressing outrage at the deaths of the seven World Central Kitchen aid workers, who were killed in an Israeli strike in Gaza last week, after his administration had called it a tragic accident.

"[That] begs the question whether he's also outraged at the way Israel's cherished aggressors violate international law by turning hospitals and schools [in Gaza] into fighting positions," McConnell said Tuesday. "Instead of welcoming Israel's swift investigation and efforts to hold personnel accountable for their mistakes -- accountability that has been sorely lacking during President Biden's own administration -- the president caved further to domestic political pressure. He indulged his radical base."

-ABC News’ John Parkinson

Vice President Kamala Harris will meet with the families of American hostages being held by Hamas on Tuesday afternoon, according to the White House.

Harris will "express her continued support for these families and the hostages and will provide an update on our administration’s efforts to broker a deal to secure the release of all hostages and an immediate cease-fire," a White House official said.

National security adviser Jake Sullivan met with the families on Monday.

The families told Sullivan they were appreciative of the Biden administration’s support, but also disappointed that a deal still hadn’t been reached to bring home the remaining hostages, which include eight American-Israeli citizens, the Hostages Families Forum Headquarters said.

The families said they told Sullivan they’re worried their loved ones will be the next to die if the negotiators don’t reach a deal soon.

-ABC News’ Justin Gomez

Senate Majority Leader Chuck Schumer said that during a Sunday call between President Joe Biden and congressional leaders there was "consensus" that Congress needs to act quickly to send aid to both Israel and Ukraine.

Schumer said at a news conference in New York that "hopefully" something can be accomplished this coming week to aid both countries.

Earlier Sunday, Biden spoke to Senate Majority Leader Schumer, House Speaker Mike Johnson, House Minority Leader Hakeem Jeffries and Senate Minority Leader Mitch McConnell.

Schumer said the best way to send aid to Israel and Ukraine is for the House to take up and pass the Senate-approved national security supplemental that includes aid to both countries. The Senate passed the $95 billion package in February, but Johnson has not brought it to the floor for a vote.

"The best way to help Israel rebuild its anti-missile and anti-drone capacity is by passing that supplemental immediately. As I said, Israel expended about over a billion dollars in defending itself and the security supplemental would replenish the kind of anti-missile and anti-drone defenses that are in the Arrow, in the David's Sling, and in the Iron Dome," Schumer said.

House Majority Leader Steve Scalise said in a statement Saturday that the House would change its legislative schedule this week to "consider legislation that supports our ally Israel and holds Iran and its terrorist proxies accountable," but it's not yet clear what legislation that will be, or how drastically it might depart from the Senate-passed bill.

-ABC News' Allison Pecorin and Rachel Scott