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

The withdrawal Sunday of Israeli troops from Khan Younis in the southern Gaza Strip was done to prepare forces for future missions, including in Rafah, according to Israeli Defense Minister Yoav Gallant.

“The withdrawal of troops from Khan Younis was carried out once Hamas ceased to exist as a military framework in the city," Gallant said Sunday. "Our forces left the area in order to prepare for their future missions, including their mission in Rafah.”

Speaking to reporters during a visit to the Israel Defense Forces' southern command, Gallant said, "We saw examples of such missions in Shifaa, and [will see] such missions in the Rafah area. We will reach a point when Hamas no longer controls the Gaza Strip and does not function as a military framework that poses a threat to the citizens of the State of Israel."

IDF Chief of Staff Herzi Halevi also confirmed Sunday that "the war in Gaza continues" and Israel is "far from stopping."

Senior Hamas officials are still hiding in the southern Gaza Strip area, Halevi said in a statement.

"We will get to them sooner or later," Halevi said, adding that the IDF "will know how to return to fighting in the event of a truce as part of a hostage deal and that returning the hostages is a more urgent matter than other goals."

Halevi also said Israel is preparing to defend itself from a possible strike from Iran, which has vowed to retaliate against an airstrike allegedly carried out by Israel in Syria last week that killed a top Iranian commander.

Halevi said the IDF is fully prepared to deal with Tehran "in attack and defense."

-ABC News' Jordana Miller