Senate Republican leaders are telling rank-and-file members that they will avert a partial government shutdown in early December, acknowledging that failing to do so would be a political liability for the GOP.

Republican senators warned Vice President Pence at a lunch meeting Tuesday that a shutdown, even a partial one, would be a mistake.

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“The vice president was around chatting with people afterward and before, and I think that message was pretty clearly conveyed,” said Senate Republican Conference Chairman John Thune John Randolph ThuneSenate passes resolution reaffirming commitment to peaceful transition of power Susan Collins faces political land mine with Supreme Court fight Abortion stirs GOP tensions in Supreme Court fight MORE (S.D.). “We don’t see anything good coming out of a shutdown.”

There’s a growing sense within the GOP that they will get blamed for any shutdown over border security.

“I don’t think there’s the stomach for a shutdown,” said Sen. Shelley Moore Capito Shelley Wellons Moore CapitoCongress must finish work on popular conservation bill before time runs out Second GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure MORE (R-W.Va.), adding that she is certain Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellTrump 'no longer angry' at Romney because of Supreme Court stance On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline The Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power MORE (R-Ky.) “is reinforcing that to the president.”

“I think we’re going to avoid that at all costs,” she said.

Congress must pass legislation funding about 25 percent of the government by Dec. 7 to avoid shuttering a variety of federal agencies.

“We’re doing everything we can to get this bill done,” Thune said, adding that McConnell “believes shutdowns are in nobody’s interest.”

Still, many Congress watchers are nervous, given the brief partial shutdown earlier this year after McConnell said there wouldn’t be one.

On Tuesday afternoon, House Republican leaders went to the White House to see what options President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE might be willing to accept. After the meeting, they said the president was firm about wanting $5 billion for border security, which is substantially less than the $25 billion estimated cost to build a wall along the 1,900-mile border with Mexico.

“President Trump’s been very adamant that we need to get the $5 billion for border security, and that’s something that we’re very committed to following through on,” House Majority Whip Steve Scalise Stephen (Steve) Joseph ScaliseHouse GOP slated to unveil agenda ahead of election House panel details 'serious' concerns around Florida, Georgia, Texas, Wisconsin elections Scalise hit with ethics complaint over doctored Barkan video MORE (R-La.) told reporters after the meeting.

“We see with the caravan there are serious threats to our border, and keeping this country safe is a top priority of the president, and he’s laid out what it’s going to take to keep the country safe,” he added.

House leaders are also feeling pressure from conservatives in their conference.

Rep. Jim Jordan James (Jim) Daniel JordanHouse panel pulls Powell into partisan battles over pandemic Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election House passes resolution condemning anti-Asian discrimination relating to coronavirus MORE (R-Ohio), a prominent member of the House Freedom Caucus, warned Tuesday there would be a backlash from the GOP base if Congress comes up short on funding border security.

“That was the biggest promise Republicans made to voters in 2016, so we had better fight for that, we had better put that on the Dec. 7 funding bill,” he said on “Fox & Friends.”

“We got to insist on it,” he added.

One Republican senator who requested anonymity to talk about internal discussions noted that Senate Appropriations Committee Chairman Richard Shelby Richard Craig ShelbySenate to push funding bill vote up against shutdown deadline Senate GOP eyes early exit Dems discussing government funding bill into February MORE (R-Ala.), who has been in direct contact with Trump, is sounding optimistic in private conversations about reaching a deal.

Shelby has proposed $5 billion for the border wall over a two-year period.

“I would hope that we can reach our goal to fund the government,” he said. “We’ve made some overtures. We’re not there yet. We think there’s a good chance we’ll make the deadline, but it hasn’t crystalized yet.”

Trump had previously told lawmakers that he won’t accept any year-end spending package that increases border security funding by less than $5 billion.

House Majority Leader Kevin McCarthy Kevin Owen McCarthyMcCarthy says there will be a peaceful transition if Biden wins GOP lawmakers distance themselves from Trump comments on transfer of power McCarthy claims protests in Louisville, other cities are 'planned, orchestrated events' MORE (R-Calif.), after meeting with Trump, said he would review Shelby’s proposal more closely.

“I have to look at the language and make sure the money is there — see how they write it,” he said.

Some Republicans are pushing for a compromise that would increase money for border security in exchange for legislation protecting from deportation immigrants who came to the country illegally as children.

Those young immigrants have been at risk of deportation ever since Trump rescinded the Deferred Action for Childhood Arrivals (DACA) program last year.

Thune and Sen. Rob Portman Robert (Rob) Jones PortmanMcConnell locks down key GOP votes in Supreme Court fight Romney undecided on authorizing subpoenas for GOP Obama-era probes Congress needs to prioritize government digital service delivery MORE (R-Ohio) have a bill that would establish a trust fund for border security and also codify protections for immigrants who entered the country illegally as children.

Separately, Senate Republican Whip John Cornyn John CornynQuinnipiac polls show Trump leading Biden in Texas, deadlocked race in Ohio The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight MORE (Texas) has talked to Rep. Will Hurd William Ballard HurdHillicon Valley: Oracle confirms deal with TikTok to be 'trusted technology provider' | QAnon spreads across globe, shadowing COVID-19 | VA hit by data breach impacting 46,000 veterans House approves bill to secure internet-connected federal devices against cyber threats House Democrats' campaign arm reserves .6M in ads in competitive districts MORE (R-Texas) about the possibility of adding to the year-end spending package a bipartisan measure that would increase border security through enhanced technology and manpower and protect DACA recipients from deportation.

Republican lawmakers said Trump won’t get a wall along the U.S.-Mexico border, but said Democrats will go along with increased spending for border security.

“It won’t be a physical wall,” said a Republican member of the Homeland Security Committee who added that whatever spending increase Congress approves will likely cover only a few hundred miles.

Senate Minority Leader Charles Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.) on Tuesday said that Democrats don’t want to spend more than the $1.6 billion already negotiated in the Senate’s Homeland Security appropriations bill.

“The $1.6 billion for border security negotiated by Democrats and Republicans is our position. We believe that is the right way to go,” Schumer told reporters.

Democrats are confident that Republicans will get blamed for any shutdown since they control the White House and both chambers of Congress.

“If there’s any shutdown, it’s on President Trump’s back,” Schumer said. “Left to our own devices, the Senate and House could come to an agreement.”

Schumer noted that the administration hasn’t “spent a penny of the $1.3 billion they requested in last year’s budget” for border security.

Democrats have also called for adding legislation to the year-end spending package that would protect special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE from being fired without just cause.

Cornyn told reporters Tuesday that he is checking with colleagues to see if it has enough support to pass, but that doesn’t mean it will be put on the floor for a vote or added to the spending deal.

“We’re whipping that to see where people are,” he said. “I think the leader needs that information to decide how to manage all the competing demands on our time.”

But McConnell later called the Mueller legislation “irrelevant” and a “solution in search of a problem.”

“The president is not going to fire Robert Mueller, nor do I think he should,” he said. “We have a lot of things to do to try to finish up this year without taking votes on things that are completely irrelevant to outcomes.”

McConnell said he would “probably” block any effort to bring a Mueller protection bill to the Senate floor.

Juliegrace Brufke and Jordain Carney contributed.