A bipartisan group of senators on Wednesday said they have reached an immigration deal as lawmakers try to break through a gridlocked floor debate.

"It's going to be ready today. It's going to be ready today," Sen. Tim Kaine Timothy (Tim) Michael KaineBiden promises Democratic senators help in battleground states Second GOP senator to quarantine after exposure to coronavirus The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE (D-Va.) told reporters after a closed-door meeting.

Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeRepublican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style Bush endorsing Biden? Don't hold your breath MORE (R-Ariz.), who was also in the meeting, confirmed that they would be releasing an agreement on Wednesday, saying members were working on "tidying up the language."

But leaving the meeting in Sen. Susan Collins Susan Margaret CollinsSenate Republicans face tough decision on replacing Ginsburg Democratic senator calls for eliminating filibuster, expanding Supreme Court if GOP fills vacancy What Senate Republicans have said about election-year Supreme Court vacancies MORE's (R-Maine) office, most members were tight-lipped about the content of their deal.

The White House has demanded that any immigration legislation include the "four pillars" agreed to during a January meeting: A fix for the Deferred Action for Childhood Arrivals (DACA) program, border security, and changes to family-based immigration and the State Department's Diversity Visa Lottery.

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Sen. Lindsey Graham Lindsey Olin GrahamSenate Republicans face tough decision on replacing Ginsburg Democratic senator calls for eliminating filibuster, expanding Supreme Court if GOP fills vacancy What Senate Republicans have said about election-year Supreme Court vacancies MORE (R-S.C.) said the agreement would be a "two pillar" proposal dealing only with undocumented immigrants and border security.

Several other members of the working group — including Collins, Kaine and Flake — declined to discuss what was included, noting they were still working to finalize language.

"We're very optimistic about getting an agreement on a bill. Of course, it's never complete until everyone has a chance to see the language. ... [But] I believe our group has come together on an approach," Collins said.

Sen. Mike Rounds Marion (Mike) Michael RoundsChamber of Commerce endorses McSally for reelection Senate GOP eyes early exit Senate Republicans signal openness to working with Biden MORE (R-S.D.) hedged slightly, saying the group is "getting closer." But asked when reporters could expect to see an agreement, added: "Today is the day."

A narrow proposal could face an uphill battle in the Senate. And even if it passes that chamber, it has been declared dead on arrival by House conservatives.

President Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE threw his support Wednesday behind a proposal from other GOP senators, led by Senate Judiciary Committee Chuck Grassley Charles (Chuck) Ernest GrassleySenate Republicans face tough decision on replacing Ginsburg What Senate Republicans have said about election-year Supreme Court vacancies Biden says Ginsburg successor should be picked by candidate who wins on Nov. 3 MORE (Iowa), that largely aligns with the White House's immigration framework.

“I am asking all senators, in both parties, to support the Grassley bill and to oppose any legislation that fails to fulfill these four pillars — that includes opposing any short-term ‘Band-Aid’ approach,” Trump said in a statement.

The framework provides a path to citizenship for roughly 1.8 million immigrants brought to the country illegally as children in exchange for $25 billion on border security, tougher interior enforcement and new limits on legal immigration.

Grassley questioned why Democrats would eat up the chamber's time with other proposals.

"Aren't you at a point where here the Democrats have been pleading for months and months and months for justice. ... Why would they turn it down?" asked Grassley, who appeared visibly frustrated and at times yelled at reporters.

When a reporter noted that there wasn't unanimous support for the plan, he added: "There's some Republicans that don't want to do anything on immigration."

Grassley stressed that the framework would also be open for amendments if they can overcome an initial procedural hurdle.

But the plan is widely viewed as unable to get the 60 votes needed to either be attached to a House-passed bill being used as a shell for the Senate debate or to defeat a final filibuster before the Senate legislation can be passed.

Sen. Joe Manchin Joseph (Joe) ManchinBiden promises Democratic senators help in battleground states Senate leaders quash talk of rank-and-file COVID-19 deal OVERNIGHT ENERGY: House Democrats tee up vote on climate-focused energy bill next week | EPA reappoints controversial leader to air quality advisory committee | Coronavirus creates delay in Pentagon research for alternative to 'forever chemicals' MORE (D-W.Va.) noted the bipartisan group's plan isn't exactly like Grassley's but said "it still covers most of the bases."

"Everything I've seen in it I can support, but I know that it might be a bridge too far for some people on my side of the aisle," he added when asked about the president's framework.

Democrats are urging Republican leadership to quickly bring up the Grassley proposal, in an effort to show that it can't pass so lawmakers that can move on to other proposals.

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE (R-Ky.) took a first step toward a vote on the measure by making several proposals "pending": the Grassley bill, a separate plan from Sens. Chris Coons Christopher (Chris) Andrew CoonsBiden promises Democratic senators help in battleground states Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE and John McCain John Sidney McCainMcSally says current Senate should vote on Trump nominee Say what you will about the presidential candidates, as long as it isn't 'They're too old' The electoral reality that the media ignores MORE (R-Ariz.), a proposal from Sen. Pat Toomey Patrick (Pat) Joseph ToomeyAppeals court rules NSA's bulk phone data collection illegal Dunford withdraws from consideration to chair coronavirus oversight panel GOP senators push for quick, partial reopening of economy MORE (R-Pa.) that would crack down on sanctuary cities and a placeholder for the Collins proposal.

The move would allow the Senate to eventually get votes, though nothing has been scheduled.

Sen. Marco Rubio Marco Antonio RubioFlorida senators pushing to keep Daylight Savings Time during pandemic Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll Intelligence chief says Congress will get some in-person election security briefings MORE (R-Fla.) backed that approach after Wednesday's meeting.

"I think the first thing that needs to happen is there needs to be a vote on the president's proposal," he said.

Sen. Lamar Alexander Andrew (Lamar) Lamar AlexanderChamber of Commerce endorses McSally for reelection Trump health officials grilled over reports of politics in COVID-19 response Now is the time to renew our focus on students and their futures MORE (R-Tenn.) added that: "I think we should have a vote on the president's proposal. I think he's shown strong leadership. ... I think the sooner [the vote happens] the better."

The bipartisan group of roughly 20 senators has been meeting in Collins's office for weeks to try to find an agreement on immigration.

As part of a deal to end a three-day government shutdown, McConnell agreed to turn to the immigration debate this week.

But the floor action stalemated on Tuesday when Democrats blocked McConnell's efforts to set up votes.

The Senate formally started the immigration debate on Wednesday after a round of partisan fighting Tuesday. But senators haven't yet agreed to schedule a vote on any immigration amendment.

McConnell wants to wrap up the debate this week.

"The longer my colleagues across the aisle refuse to come to the table — the longer they’re unable to produce any legislation they actually support — the lower the odds that we can arrive at a legislative solution this week," he warned on Wednesday.

Updated at 2:28 p.m.