Both Republican and Democratic senators are expressing concerns over the lack of open process in the Senate's work on a revised ObamaCare repeal-and-replace bill even as Republican leadership looks to move the bill to a vote as soon as possible.

Many lawmakers have not yet laid eyes on the Senate version of the American Health Care Act, which was passed by the House in May, and have begun to raise concerns about potential issues with the bill.

Sen. Richard Blumenthal (D-Conn.) is mounting his own protest over the lack of transparency on the legislation by calling an “emergency healthcare hearing” set for Monday.

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“It’s a small group of Republicans meeting in secret, [and] none of us on the Democratic side have a clue as to what they’re doing,” Blumenthal told the Hartford Current.

“How do we vote in the next few weeks on a bill that has not been … reduced to writing, that has been done in secret without any kind of public hearing?” he continued. Senate Majority 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 (R-Texas) has promised that the Senate will repeal and replace ObamaCare no later than “the end of July.”

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.) sent a letter to 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.) asking for an all-senators meeting to discuss the legislation on Friday, saying that Republicans and Democrats "need to come together to find solutions to America's challenges."

Democrats are wielding a familiar critique. Republicans continuously slammed Democrats during the passage of the Affordable Care Act, also known as ObamaCare, for not being transparent during the deliberation process.

McConnell defended the Senate's process last week, saying there have been “gazillions of hearings” on healthcare over the years.

Sen. Marco Rubio Marco Antonio RubioGOP lawmakers distance themselves from Trump comments on transfer of power McConnell pushes back on Trump: 'There will be an orderly transition' Graham vows GOP will accept election results after Trump comments MORE (R-Fla.) on Sunday was cautiously optimistic that more voices will eventually be heard on healthcare.

“The first step in this may be crafted among a small group of people, but then everyone's going to get to weigh in,” he told CBS’s John Dickerson on “Face the Nation.”

"You know, it's going to take days and weeks to work through that in the Senate,” he added.

The Florida senator warned against rushing the bill to the Senate floor, something else Republicans criticized Democrats for doing during the passage of the Affordable Care Act.

“So I have no problem with a group of people meeting to conduct a proposal. But ultimately that proposal cannot be rushed to the floor,” Rubio said. “And I don't think the Senate rules would permit it. So it's fine if they're working on the starting point. But ultimately we're all going to see what's in it.”

However, other Republican lawmakers are raising concerns that secret deliberations and a lack of committee meetings leave Senate Republicans wide open for criticism.

Republican Sen. Lisa Murkowski Lisa Ann MurkowskiOVERNIGHT ENERGY: House passes sweeping clean energy bill | Pebble Mine CEO resigns over secretly recorded comments about government officials | Corporations roll out climate goals amid growing pressure to deliver The Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Abortion stirs GOP tensions in Supreme Court fight MORE (Alaska), who sits on the Senate Health, Education, Labor and Pensions Committee, said she is unhappy with the secrecy surrounding the deliberations.

"I think that we do better as a body when we respect the process. And the process allows for committee involvement, debate and discussion," Murkowski told the Alaska Dispatch News.

"If I'm not going to see a bill before we have a vote on it, that's just not a good way to handle something that is as significant and important as healthcare,” she said.

McConnell has implied he wants to aim for a healthcare vote before the Senate takes its July 4 recess.

The Majority Leader is also pushing to use a Senate rule that would allow the legislation to bypass committees and head straight to the floor.

"Do I think that's the best route to go? No. I'm a process person," Murkowski said.

Other Senate Republicans such as Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' The Hill's 12:30 Report: Ginsburg lies in repose CHC leaders urge Senate to oppose Chad Wolf nomination MORE (Wis.) and Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (Tenn.) expressed similar concerns to The Hill.

“I would have liked for this to be a public process. It’s not going to happen,” Corker told The Hill.

“What I’ve been primarily asking for is once leadership finally does believe they have enough input … I want to make sure the American people, I want to make sure the members of Congress have enough time to evaluate it,” Johnson said.

He added, “I want to have enough time to really take a look at what we’re voting on.”

While some Republicans are expressing unease about the lack of transparency surrounding the legislation, recent reports suggest Democrats plan to outright disrupt Senate business this week to demand more openness.

CNN reported Saturday that Senate Democrats are considering blocking routine Senate business this week in order to make their objections clear. Meanwhile, Politico reported that Democrats planned to hold the Senate floor until at least midnight on Monday in response to the lack of committee hearings being held by Senate Republicans.

Senate Democrats have signaled that everything possible should be done to block the repeal and replacement of ObamaCare.

“I think that the Democrats in the Congress should do everything possible to defeat that legislation, which is, again, to my mind, unspeakable,” Sen. Bernie Sanders Bernie SandersThe Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power Bernie Sanders: 'This is an election between Donald Trump and democracy' The Hill's 12:30 Report: Trump stokes fears over November election outcome MORE (I-Vt.) told CNN’s Jake Tapper on “State of the Union” on Sunday.

“I don’t know about shutting the Senate down. But I think you’re going to see some effort to highlight that this has never been done before,” Sen. Claire McCaskill Claire Conner McCaskillMomentum growing among Republicans for Supreme Court vote before Election Day Democratic-linked group runs ads in Kansas GOP Senate primary Trump mocked for low attendance at rally MORE (D-Mo.) told Politico.

Republicans have very little leeway in terms of passing the legislation. Republicans hold a narrow 52-seat majority in the Senate and could lose two votes. Murkowski has expressed doubts about the bill, along with Sens. Rand Paul Randal (Rand) Howard PaulThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Rand Paul says he can't judge 'guilt or innocence' in Breonna Taylor case Overnight Health Care: Health officials tell public to trust in science | Despair at CDC under Trump influence | A new vaccine phase 3 trial starts MORE (R-Ky.) and Mike Lee Michael (Mike) Shumway LeeBipartisan representatives demand answers on expired surveillance programs McConnell shores up GOP support for coronavirus package McConnell tries to unify GOP MORE (R-Utah).