With the latest effort to overhaul ObamaCare looking dead just days before the Sept. 30 deadline, Senate Republicans are putting the kibosh on suggestions that the effort be combined with tax reform in 2018.

“Heavens no. We’re not going to do that,” said Sen. Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R-Utah), chairman of the Senate Tax Committee. “It would just screw up the whole thing.”

Republicans were relying on a budget process called reconciliation to avert a Democratic filibuster on health care. The health-care specific instructions passed in the 2017 budget expire on Saturday, and Republicans plan on using the 2018 instructions to pass tax reform.

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Some, such as 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.), have suggested broadening the 2018 reconciliation instructions to pave the way for both health care and taxes, a process that could imperil both causes, as they would have to be passed together.

“There’s no reason why you couldn’t do more than one thing in a budget resolution, [why] you couldn’t [do] taxes and health care at the same time,” Paul said at a Monday press conference.

But the suggestion didn’t go over well with his colleagues, including Sen. John Kennedy John Neely KennedyMORE (R-La.).

“Look, we need to go do tax reform. We failed twice on health care, I’m disappointed, but we can come back to health care,” said Kennedy, a member of the Budget Committee.

When presented with the prospect of combining the two issues, committee member Sen. Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.) offered a skeptical “Yeesh,” though he wouldn’t discount the possibility completely.

“It’s been pretty difficult to do each individually, but look, I’m open to doing it in ways that might make us successful,” he said.

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.) agreed. “That would be a very heavy lift,” he said.

—Naomi Jagoda contributed.