Senate Finance Committee Chairman Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R-Utah) on Wednesday said he is open to delaying the repeal of ObamaCare's individual mandate for having insurance.

Hatch told reporters he "wouldn't mind" postponing repeal until after 2020, or even indefinitely.

"I don't mind the individual mandate being expanded," Hatch told reporters Wednesday. "But it all comes down to budgetary concerns and how it's going to be written."

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The individual mandate — a financial penalty on people who don't buy health insurance — is one of the most unpopular parts of ObamaCare. The House-passed American Health Care Act would repeal the mandate, effective immediately.

Other senators also said they are open to delaying repeal of the mandate.

"I think it's going to go away, but we're talking about a transition" to a new system, Sen. John Hoeven John Henry HoevenDavis: The Hall of Shame for GOP senators who remain silent on Donald Trump Bottom line Bipartisan senators seek funding for pork producers forced to euthanize livestock MORE (R-N.D.) said. "My sense is yes it will go away, but we're still figuring out how you make the transition."

Senators are still waiting for the Congressional Budget Office's cost and coverage estimates of the House legislation, which are expected next week. Sen. John Thune John Randolph ThuneThe Hill's 12:30 Report - Presented by Facebook - Don't expect a government check anytime soon The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Trump contradicts CDC director on vaccine, masks Senate GOP eyes early exit MORE (R-S.D.) said the score of the House bill "will help a lot" as the Senate drafts its own version of the legislation, especially with regards to tax credits for buying insurance.

Senate Health, Education, Labor and Pensions Committee Chairman Lamar Alexander Andrew (Lamar) Lamar AlexanderTrump health officials grilled over reports of politics in COVID-19 response Now is the time to renew our focus on students and their futures CDC says asymptomatic people don't need testing, draws criticism from experts MORE (R-Tenn.) said the Senate Budget Committee will begin writing the chamber's version "soon."