Sen. John Cornyn John CornynTumultuous court battle upends fight for Senate Texas Democrats roll out first wave of planned digital ads as Election Day nears Calls grow for Biden to expand election map in final sprint MORE (R-Texas) predicted that Senate leadership won't make a final decision on bringing up an ObamaCare repeal proposal until after a closed-door lunch on Tuesday.

"I think we're going to need to have a meeting of our conference tomorrow ... so we can kind of see where everybody is before there will be any news," Cornyn, the second highest-ranking GOP senator, told reporters after a meeting in Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellGraham: GOP will confirm Trump's Supreme Court nominee before the election Trump puts Supreme Court fight at center of Ohio rally The Memo: Dems face balancing act on SCOTUS fight MORE's (R-Ky.) office Monday evening.

Republicans huddle every Tuesday as part of a caucus lunch where they discuss key agenda items and what is on the Senate floor. Vice President Pence frequently attends the closed-door meetings.

Cornyn's comments came shortly before Sen. Susan Collins Susan Margaret CollinsGraham: GOP will confirm Trump's Supreme Court nominee before the election Gardner signals support for taking up Supreme Court nominee this year Tumultuous court battle upends fight for Senate MORE (Maine) became the third GOP senator to come out as a hard "no" against the bill sponsored by Sens. Lindsey Graham Lindsey Olin GrahamGraham: GOP will confirm Trump's Supreme Court nominee before the election Fox's Napolitano: Supreme Court confirmation hearings will be 'World War III of political battles' Grassley, Ernst pledge to 'evaluate' Trump's Supreme Court nominee MORE (R-S.C.) and Bill Cassidy William (Bill) Morgan CassidyCoushatta tribe begins long road to recovery after Hurricane Laura Senators offer disaster tax relief bill Bottom line MORE (R-La.), leaving leadership without the votes needed to pass the legislation.

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McConnell signaled last week he would bring up the health-care legislation this week, though he's remained tight-lipped as GOP senators have come out against it.

Marc Short, the White House director of legislative affairs, predicted over the weekend that a vote is likely on Wednesday.

And Graham said on Monday evening that he wanted a vote to get his colleagues on the record even if it was clear it would fail.

"I believe in my idea and if you disagree vote 'no.' The whole idea is to hold people accountable," he said, while acknowledging he didn't know if there would be a vote.

The Graham-Cassidy legislation would replace ObamaCare's Medicaid expansion and insurance subsidies with block grants to the states.

Sen. John Thune John Randolph ThuneGraham: GOP will confirm Trump's Supreme Court nominee before the election Tumultuous court battle upends fight for Senate What Senate Republicans have said about election-year Supreme Court vacancies MORE (R-S.D.), the No. 3 Senate Republican, said the decision rested with McConnell but questioned if he would bring it up if it was clear they would not be able to pass the bill.

He acknowledged that with Collins's announcement they would need a senator to flip their position on the health-care bill, but that senators were continuing to talk to Sen. Rand Paul Randal (Rand) Howard PaulSecond GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure The Hill's Morning Report - Sponsored by National Industries for the Blind - Trump seeks to flip 'Rage' narrative; Dems block COVID-19 bill MORE (R-Ky.) and Sen. Ted Cruz Rafael (Ted) Edward CruzThe Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy Murkowski: Supreme Court nominee should not be taken up before election Battle lines drawn on precedent in Supreme Court fight MORE (R-Texas).

“It would involve somebody having to be in a different place than they are today,” Thune said. "[The chances] are probably not real good."

But GOP senators appear skeptical that leadership will force them to go through another health-care vote, which could be used as political fodder in 2018 and 2020, if they know it will fail, like their proposal in July.

Sen. Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R-Utah), asked if he thought McConnell would bring up the health-care legislation, said "I doubt it."

"I'll be honest, it seems unlikely that we'll be voting on this," Sen. Joni Ernst Joni Kay ErnstGraham: GOP will confirm Trump's Supreme Court nominee before the election Joe Biden looks to expand election battleground into Trump country Grassley, Ernst pledge to 'evaluate' Trump's Supreme Court nominee MORE (R-Iowa) separately told constituents over the weekend.