Sen. Lisa Murkowski Lisa Ann MurkowskiGraham: 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 (R-Alaska) said Wednesday that ObamaCare-related legislation "needs to be bipartisan" following the collapse of GOP efforts to repeal the health-care law this week.

"You know what, I think it needs to be bipartisan and that's why I'm working with Sen. Alexander and Sen. Murray," Murkowski said when asked whether a Republican-only ObamaCare bill could pass next year.

Sens. Lamar Alexander Andrew (Lamar) Lamar AlexanderGraham: GOP will confirm Trump's Supreme Court nominee before the election The Hill's Morning Report - Sponsored by Facebook - Washington on edge amid SCOTUS vacancy This week: Supreme Court fight over Ginsburg's seat upends Congress's agenda MORE (R-Tenn.) and Patty Murray Patricia (Patty) Lynn MurrayTrump health officials grilled over reports of politics in COVID-19 response CDC director pushes back on Caputo claim of 'resistance unit' at agency 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-Wash.), respectively the chairman and ranking member on the Senate Health Committee, are looking to restart bipartisan talks on an ObamaCare stabilization bill.

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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.) say they are not giving up on their bill to repeal and replace ObamaCare after GOP leaders declined to hold a vote on the legislation this week. The pair are eyeing another push for their bill next year.

Murkowski's vote is critical. She was one of three GOP senators who voted to sink a GOP repeal bill in July, and the Trump administration sought to put pressure on her to vote for the latest repeal bill.

Her comments on Wednesday cast doubt on whether she would vote for the Graham-Cassidy measure next year, which no Democrats support.

Murkowski has not said she opposes the bill, which dismantles ObamaCare's insurer subsidy program and Medicaid expansion, converting the funding to block grants for states. Instead, the Alaska senator has said she needs more information while praising the general idea of giving more power to states.

The GOP senator said she did not take a position "because we weren't having a vote on it."

"There's some clear fundamentals with what Graham-Cassidy laid down that hey, as a Republican, I can get behind more flexibility, more state control," she said to a small group of reporters. "But the substance matters, the data matters and we had not yet received what Alaska specifically asked for."

Murkowski said the "entire team" of Alaska officials had been with her in Washington for three days going over the bill.