will hurd border security
will hurd border security
Now playing
01:59
GOP not 'totally unified' on border security
CNN
Now playing
01:35
Keisha Lance Bottoms: This decision was made from position of strength
Getty Images
Now playing
02:41
Lindsey Graham: GOP can't grow without Trump
A portion of this image has been obscured by the source.
Department of Justice
A portion of this image has been obscured by the source.
Now playing
02:09
Lawyers say alleged Capitol rioter is suffering from 'Foxitus'
Now playing
03:28
Wyoming voters weigh in on Liz Cheney's political future
Ktyrsten Sinema/Mark kelly split
Getty Images
Ktyrsten Sinema/Mark kelly split
Now playing
03:26
Biden's top priorities depend on support from these two senators
Getty/CNN
Now playing
01:57
'Do you know how crazy this is?': Tapper on Arizona election 'audit'
Caitlyn Jenner attends the 28th Annual Elton John AIDS Foundation Academy Awards Viewing Party on February 9, 2020 in West hollywood, California. (Photo by Michael Tran / AFP) (Photo by MICHAEL TRAN/AFP via Getty Images)
Michael Tran/AFP/Getty Images
Caitlyn Jenner attends the 28th Annual Elton John AIDS Foundation Academy Awards Viewing Party on February 9, 2020 in West hollywood, California. (Photo by Michael Tran / AFP) (Photo by MICHAEL TRAN/AFP via Getty Images)
Now playing
02:41
Caitlyn Jenner says friends are fleeing California because of homeless people
Anthony Blinken BBC intv
BBC
Anthony Blinken BBC intv
Now playing
03:27
Blinken: US will respond if Russia acts recklessly against Ukraine
02 Gen. David Petraeus lead 05062021
CNN
02 Gen. David Petraeus lead 05062021
Now playing
02:14
Gen. Petraeus on why US may regret pulling troops from Afghanistan
The Ohio Channel
Now playing
01:00
State senator attends Zoom meeting while driving his car
Florida Gov. Ron Desantis holds up the voting bill after signing it on Fox News live. The cable news network was the only press outlet granted access to the signing.
Fox News
Florida Gov. Ron Desantis holds up the voting bill after signing it on Fox News live. The cable news network was the only press outlet granted access to the signing.
Now playing
03:42
Florida governor goes on Fox News to sign controversial law
pool
Now playing
01:28
'Pay your fair share': Biden pitches raising taxes on wealthy
Now playing
03:46
Berman: McCarthy sides with these Republicans but not Liz Cheney?
CNN
Now playing
04:22
'Power and money over ethics': Avlon fires off on GOP
Kevin McCarthy, R-Calif., and Liz Cheney, R-Wyo., conduct a news conference in the Capitol Visitor Center after a meeting with the House Republican Conference on Wednesday, September 23, 2020.
Tom Williams/CQ-Roll Call/Getty Images
Kevin McCarthy, R-Calif., and Liz Cheney, R-Wyo., conduct a news conference in the Capitol Visitor Center after a meeting with the House Republican Conference on Wednesday, September 23, 2020.
Now playing
02:55
Hear McCarthy on a hot mic revealing what he thinks of Cheney
(CNN) —  

Staring at a prolonged government shutdown, Republican senators are privately planning to court Democratic senators on an immigration deal that would give President Donald Trump money for his border wall and include several measures long-sought by Democrats, according to sources familiar with the matter.

After Trump stormed out of a White House meeting with congressional leaders, GOP senators privately gathered in Sen. Lindsey Graham’s office Wednesday to discuss a way out of the logjam. The long-shot idea: propose an immigration deal that would include $5.7 billion for Trump’s border wall along with several provisions that could entice Democrats.

Those items include changes to help those who are a part of the Deferred Action for Childhood Arrivals program as well as immigrants from El Salvador and other countries impacted by the Temporary Protected Status program - along with modifications to H-2B visas.

The plan is in its very early stages. Its chances of success are still very uncertain at best, Republicans cautioned.

GOP senators pitched the idea to senior White House adviser Jared Kushner, who said if they came up with a proposal that got Trump his border wall money and could pass the Senate, the White House would be open to more discussions on the matter, the source said. He did not say Trump would endorse such a plan.

The GOP senators – who include Graham of South Carolina, Susan Collins of Maine, Thom Tillis of North Carolina, Lamar Alexander of Tennessee, Rob Portman of Ohio and Lisa Murkowksi of Alaska – discussed the plan in a hastily arranged meeting Wednesday, with several of them now planning to propose the idea to Democrats to see if there’s a enough support to break the logjam.

It’s still highly uncertain such a plan could reopen a quarter of the government that is shut down for a third week. But with bitter talks broken down between Trump and Democratic leaders, GOP senators say this may be the only option with no end in sight to the shutdown.

“I want to figure out a way so we can reopen quickly,” Murkowski said on her way to Graham’s office.

Asked if she was happy about how the Senate GOP lunch with Trump went Wednesday, she said she’d wished there had been “more clarity” on how to end this shutdown.

CNN’s Lauren Fox contributed to this report.