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

As Elon Musk again turns up his criticism on President Trump's megabill, Trump was asked by a reporter on Tuesday morning, "Are you going to deport Elon Musk?"

"I don't know. We'll have to take a look," Trump responded. "We might have to put DOGE on Elon. You know what DOGE is? The monster that might have to go back and eat Elon. Wouldn’t that be terrible? He gets a lot of subsidies.”

Musk, a South African native and a naturalized U.S. citizen, on Monday said he would back challengers to members of Congress who vote for Trump's so-called "One Big Beautiful Bill Act."

President Trump took several questions on the status of his "One Big Beautiful Bill Act" early Tuesday after an all-nighter in the Senate still didn't produce consensus among the Republican conference.

Departing the White House to visit a new "Alligator Alcatraz" migrant detention center in Florida, Trump said he would be back in Washington early on Tuesday afternoon to keep "fighting for the bill."

"I think we're doing well, we're going to have to see. It's very complicated stuff. Great enthusiasm as you know, and I think in the end we're going to have it," Trump said.

Trump also responded to Elon Musk's comments on the bill, as the world's richest man is threatening to primary Republicans who support it. Trump said Tesla CEO Musk is upset about the legislation removing tax credits for electric vehicles but warned that he "could lose a lot more than that."

"DOGE is the monster that might have to go back and eat Elon," Trump told reporters.

Trump was asked when he thinks he'll get final passage of the bill and he said "hopefully soon."

"I think Senate could be today, and then we'll go over to the House," Trump said.

Vice President JD Vance arrived on Capitol Hill early on Tuesday, in what may be a sign that the marathon "vote-a-rama" is heading toward a conclusion.

Vance will likely be needed to cast a tie-breaking vote on passing the bill.

When he entered, the vice president was asked whether he thought the bill would get over the finish line on Tuesday. "We're going to find out," Vance replied.

It's unclear whether Vance will further negotiate with holdouts or prepare to cast a final vote.

Majority Leader John Thune teed up three more votes on the Senate floor, but they are not expected to be the last of the amendment votes.

-ABC News' Allison Pecorin

The Senate floor is currently in a state of paralysis while Republican leaders push for the support necessary to bring President Donald Trump's "Big Beautiful Bill" to a final vote on the Senate floor.

Majority Leader John Thune does not yet appear to have locked down the necessary 51 votes he needs to bring the bill up during final passage.

One of the main targets of the GOP leadership's efforts is Sen. Lisa Murkowski, whose indecision comes after reports that the Senate parliamentarian may have ruled some carve out provisions meant for her home state of Alaska's Medicaid recipients out of order.

Also under pressure are Sens. Mike Lee and Rick Scott -- who have yet to receive a vote on their amendment that strips back additional funding for Medicaid -- plus Sen. Susan Collins, whose proposed amendment to boost the rural hospital relief fund was voted down by her colleagues early Tuesday morning.

Sen. Thom Tillis is expected to vote against the bill because of Medicaid concerns.

Sen. Rand Paul had also been expected to vote against the megabill. But the Kentucky senator reportedly has an amendment up for consideration that would significantly reduce the amount of money attributed to raise to the federal debt limit.

The current bill raises the debt limit by $5 trillion dollars. Paul's amendment would raise it by only $500 billion.

This last-ditch move might prove enough to win over Paul's vote, which could end up proving critical if Thune loses some of his other members. But it puts Republicans in a bind potentially within the year.

The reason Republicans are including a debt limit hike is because it allows them to raise the debt limit without any Democratic support.

Raising the debt limit by only $500 billion means Republicans may have to try to raise it again in a relatively short amount of time, and that would mean negotiating with Democrats who would likely seek concessions in exchange for their votes.

Tillis said that would be a decision that Trump would have to be involved in making.

-ABC News' Allison Pecorin