Trump admin updates: Trump says tariff letters to be sent to 'various countries' on Monday

Senate Majority Leader John Thune, celebrating after steering the approval of President Trump’s megabill, nodded to all of the “work” that went into its passage.

“This doesn't happen easily, for sure, and in this case, it took a lot of time and probably a lot less sleep than I think most people were hoping for. But in the end, we got the job done, and we're delighted to be able to be partners with President Trump and his agenda, an agenda that is the right one for the American people, the one that they voted for last November," he told reporters at the Capitol.

Thune also acknowledged the difficulty House Republicans might have in passing the package as it now heads their way, but said he delivered them a “strong product.”

“Well, we'll see. I mean, you know how hard it was to pass it -- I think the House, I appreciate the narrow margins they have over there … but I think we gave a really strong product,” he said.

“I think we took what they sent us and strengthened and improved upon it. And so I'm hopeful that now, when it gets sent over there, as they deliberate about how they want to handle it, they'll find the goals that are necessary to pass it,” Thune added.

-ABC News' Isabella Murray

Speaker Mike Johnson and top Republican leaders announced in a statement that the House will consider the bill "immediately for final passage" -- with renewed intent to put the measure on President Trump's desk by July 4.

"The House will work quickly to pass the One Big Beautiful Bill that enacts President Trump's full America First agenda by the Fourth of July. The American people gave us a clear mandate, and after four years of Democrat failure, we intend to deliver without delay," the leaders said.

“This bill is President Trump’s agenda, and we are making it law. House Republicans are ready to finish the job," they added.

The House Rules Committee will convene at 1:30 p.m. ET on Tuesday to markup the bill and set parameters for floor debate and consideration of the bill.

-ABC News' Lauren Peller

ABC News Chief White House Correspondent Mary Bruce pressed President Trump on House Republicans who say they are unhappy with the changes the Senate made to the bill.

"What is your message to those holdouts?" Bruce asked the president.

"Well, I just heard that about the Senate, and the bill just passed, and it tells you there's something for everyone," Trump said. "I mean, we have -- it's a great bill. There is something for everyone, and I think it's going to go very nicely in the House. Actually, I think it will be easier in the House than it was in the Senate."

ABC's Bruce also followed up with asking Trump about the cuts to Medicaid that the nonpartisan Congressional Budget Office projects would cause 11.8 million Americans to lose their insurance.

Trump said he believed the amount of people who would lose coverage would be less than projected, but did not say where he was getting such data or analysis from.

"I'm saying it's going to be a very much smaller number than that and that number will be waste, fraud and abuse," he said.

President Trump learned about the Senate passage of his domestic policy bill during a roundtable event as he toured the so-called "Alligator Alcatraz" migrant detention center in Florida.

"I was also wondering how we doing, because I know this is prime time, it shows that I care about you, because I'm here and I probably should be there, but we do care," Trump said.

Trump said that he will be going back to Washington to celebrate.

"We're gonna finish over here, and then we'll go over there. We'll go back and celebrate the big, beautiful bill," Trump said. Though notably, Democrats had the title "One Big Beautiful Bill Act" stricken just before the final vote.

"You sure that's right?" Trump asked the reporter when informed of the results.

"Wow," was Trump's response when he was told the information was correct.