PHOTO: CNN
Now playing
01:23
McConnell unsure if Trump's declaration is legal
Senior Advisor to the President Jared Kushner  attends a press conference on September 4, 2020, in the Brady Briefing Room of the White House in Washington, DC. (Photo by Brendan Smialowski / AFP) (Photo by BRENDAN SMIALOWSKI/AFP via Getty Images)
PHOTO: BRENDAN SMIALOWSKI/AFP/AFP via Getty Images
Senior Advisor to the President Jared Kushner attends a press conference on September 4, 2020, in the Brady Briefing Room of the White House in Washington, DC. (Photo by Brendan Smialowski / AFP) (Photo by BRENDAN SMIALOWSKI/AFP via Getty Images)
Now playing
02:50
Jared Kushner disappears from Trump's inner circle
psaki
PHOTO: CNN
psaki
Now playing
00:56
Psaki fires back at Trump testing czar over vaccine claims
PHOTO: CNN
Now playing
03:04
Avlon: Pence's op-ed is 'way worse than Stockholm syndrome'
PHOTO: CNN
Now playing
01:35
See what security looks like outside US Capitol
PHOTO: Gov. Cuomo's office
Now playing
03:35
Gov. Andrew Cuomo addresses women's allegations
Cuomo
PHOTO: Gov. Cuomo's Office
Cuomo
Now playing
00:56
Cuomo says he has no plans to resign
Now playing
04:51
Elected Republican who supports Biden's bill speaks out
President Joe Biden speaks during a meeting about cancer in the Oval Office of the White House, Wednesday, March 3, 2021, in Washington. (AP Photo/Alex Brandon)
PHOTO: Alex Brandon/AP
President Joe Biden speaks during a meeting about cancer in the Oval Office of the White House, Wednesday, March 3, 2021, in Washington. (AP Photo/Alex Brandon)
Now playing
01:20
'Neanderthal thinking': Biden on states lifting mask restrictions
PHOTO: CNN/Getty
Now playing
02:10
'Highly misleading at best': Dale reacts to Pence's op-ed
Commanding General District of Columbia National Guard Major General William J. Walker testifies before the Senate Homeland Security and Governmental Affairs/Rules and Administration hearing to examine the January 6, 2021 attack on the US Capitol on Capitol Hill on March 3, 2021 in Washington, DC. (Photo by Greg Nash / POOL / AFP) (Photo by GREG NASH/POOL/AFP via Getty Images)
PHOTO: GREG NASH/POOL/AFP via Getty Images
Commanding General District of Columbia National Guard Major General William J. Walker testifies before the Senate Homeland Security and Governmental Affairs/Rules and Administration hearing to examine the January 6, 2021 attack on the US Capitol on Capitol Hill on March 3, 2021 in Washington, DC. (Photo by Greg Nash / POOL / AFP) (Photo by GREG NASH/POOL/AFP via Getty Images)
Now playing
03:01
DC National Guard commander: 'Unusual' Pentagon restrictions slowed response to Capitol riot
FBI Director Christopher Wray testifies before the Senate Judiciary Committee on the January 6th insurrection, in the Hart Senate Office Building on Capitol Hill in Washington, DC on March 2, 2021. (Photo by MANDEL NGAN / POOL / AFP) (Photo by MANDEL NGAN/POOL/AFP via Getty Images)
PHOTO: MANDEL NGAN/POOL/AFP via Getty Images
FBI Director Christopher Wray testifies before the Senate Judiciary Committee on the January 6th insurrection, in the Hart Senate Office Building on Capitol Hill in Washington, DC on March 2, 2021. (Photo by MANDEL NGAN / POOL / AFP) (Photo by MANDEL NGAN/POOL/AFP via Getty Images)
Now playing
02:55
Watch FBI director debunk conspiracy theories pushed by Trump supporters
abrams
PHOTO: CNN
abrams
Now playing
00:51
Abrams on voting rights: We're fighting to protect our democracy from domestic enemies
Goya Foods President Robert Unanue speaks at a press conference with Carlos Vecchio, the Venezuelan Ambassador who is recognized by the United States on December 21, 2020 in Doral, Florida. The two held the press conference to discuss details of a recent shipment of humanitarian aid to Venezuela, donated by Goya Foods. (Photo by Joe Raedle/Getty Images)
PHOTO: Joe Raedle/Getty Images
Goya Foods President Robert Unanue speaks at a press conference with Carlos Vecchio, the Venezuelan Ambassador who is recognized by the United States on December 21, 2020 in Doral, Florida. The two held the press conference to discuss details of a recent shipment of humanitarian aid to Venezuela, donated by Goya Foods. (Photo by Joe Raedle/Getty Images)
Now playing
03:24
Goya CEO under fire for false Trump election claims
Rep. Adam Kinzinger (R-IL) speaks to CNN's Alisyn Camerota about why he thinks that the Republican Party will move on from former President Donald Trump.
PHOTO: CNN
Rep. Adam Kinzinger (R-IL) speaks to CNN's Alisyn Camerota about why he thinks that the Republican Party will move on from former President Donald Trump.
Now playing
02:03
Kinzinger: Trump is a loser and we will move on
Now playing
04:17
NYC mayor says Gov. Cuomo should resign if allegations are true
(CNN) —  

The House on Tuesday rebuked President Donald Trump over one of his signature issues, passing a resolution to overturn his emergency declaration to unlock money for wall construction at the US southern border.

The vote was 245-182. Thirteen Republicans voted with Democrats to pass the measure.

The resolution will next be taken up by the Senate, where it will put Republican unity to the test, though Senate leaders have signaled they will not bring it to a vote immediately.

It is not yet clear how many Republicans will vote for the resolution in the Senate, but it looks likely to pass the upper chamber, despite the fact that Republicans hold a majority. That would be yet another blow to the President, who has said he will veto the resolution if it comes to his desk.

A test of Republican unity in the Senate

If four Republicans join all the Democrats in the Senate to pass the resolution, the measure would then face a presidential veto. The White House formally issued a veto threat on Tuesday afternoon.

Congress would then need an overwhelming majority – two-thirds of its members – in both chambers to overrule the President. It is unlikely that there would be enough support on Capitol Hill to overturn a veto.

So far, there are three Republicans who have signaled they will vote in favor of the resolution. And Senate GOP aides fully expect the resolution to pass when it is brought to the floor.

GOP Sen. Thom Tillis of North Carolina, who is up for re-election in 2020, said in a Washington Post op-ed on Monday evening that he would vote in favor.

“As a conservative, I cannot endorse a precedent that I know future left-wing presidents will exploit to advance radical policies that will erode economic and individual freedoms,” he wrote.

Republican Sen. Susan Collins, a key swing vote also up for re-election in 2020, has said that she plans to vote in favor if it is “a clean disapproval resolution.”

GOP Sen. Lisa Murkowski of Alaska, another key swing vote, told reporters on Tuesday that she will vote in support of the resolution.

During the recent 35-day government shutdown, the longest such federal shutdown in US history, Trump pushed Congress to appropriate $5.7 billion for physical barriers along the border with Mexico. The divided legislature rejected his proposal and the President eventually accepted its bill for $1.375 billion in border security measures.

But before signing the bill, Trump announced he would go around Congress to get the wall he wanted, presenting Republicans on Capitol Hill with a difficult choice. While some will support their party’s leader on his top campaign issue, others argue it could set a poor precedent for future Democratic presidents to push liberal policies without congressional input.

Republican leadership is not worried or up-in-arms right now about the state of play on the resolution, however, because they don’t view this as a fight to block the resolution. They view it as a fight to make sure it stays below a veto-proof threshold and they appear on track for that now.

House Minority Leader Kevin McCarthy has expressed confidence that the GOP would deny votes in the House for a veto-proof majority.

“Yes,” the California Republican said when CNN asked if they’d have the votes to deny a veto-proof majority. “If you read what the Democrats … say, (that) the emergency is over – no, it’s not.”

When the Senate will vote

Senate Majority Leader Mitch McConnell told reporters on Tuesday that he expects the Senate will vote on the resolution before the next Senate recess, which will take place the week of March 18.

“We will certainly be voting on it,” he said.

McConnell said that GOP senators had a “fulsome discussion” at their afternoon policy lunch about the “legality and appropriateness” of the emergency declaration. The lunch was attended by Vice President Mike Pence and a lawyer from the Justice Department.

The Republican leader said he hasn’t “reached a total conclusion” about whether he believes the President’s emergency declaration is legal.

Trump calls on Republicans not to side with Democrats

The President has been putting public pressure on Republicans over border security and has urged them not to side with Democrats.

“I hope our great Republican Senators don’t get led down the path of weak and ineffective Border Security,” the President tweeted on Monday. “Without strong Borders, we don’t have a Country - and the voters are on board with us. Be strong and smart, don’t fall into the Democrats ‘trap’ of Open Borders and Crime!”

As of Tuesday morning, many Republican senators said they were still undecided about how they will vote on the resolution.

Sen. Martha McSally, a Republican from the border state of Arizona, and Sen. Pat Toomey, a conservative from Pennsylvania, told CNN they were still looking at their options.

Republican Sens. Tim Scott of South Carolina and David Perdue of Georgia said they planned to vote with the President against a resolution of disapproval.

Republican Sen. Lamar Alexander, of Tennessee, told CNN on Monday he does not support the President’s emergency declaration, but would review the resolution of disapproval before deciding how he’d vote.

“I think it is unnecessary, unwise and inconsistent with the Constitution,” said Alexander of the declaration. “And I feel strongly about that.”

This story has been updated with additional developments Tuesday.

CNN’s Phil Mattingly, Pamela Brown, Lauren Fox, Ted Barrett, Manu Raju, Mike Conte and Katie Bernard contributed to this report.