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Lee's comments are in reference to an effort to block a continuing resolution on funding the federal government beyond Sept. 30 if that resolution includes funding President Obama's healthcare law.

"We just don't want to fund ObamaCare," Lee said on Laura Ingraham's radio show. "And I don't think Harry ReidHarry ReidThis week: Congress awaits Comey testimony Will Republicans grow a spine and restore democracy? Racial representation: A solution to inequality in the People’s House MORE has the political wherewithal right now, given the dwindling support for this legislation by the American people, to shut down the government for ObamaCare. He doesn't want to go down in flames defending this law in that way."

Earlier on Wednesday, Sen. Roy BluntRoy BluntSenators unveil infrastructure investment bill GOP nears total exasperation with Trump GOP senators pitch Merrick Garland for FBI director MORE (R-Mo.) said he opposed only raising the debt ceiling if ObamaCare was not funded.

"I think holding the debt limit hostage to any specific thing is probably not the best negotiating place," Blunt said.

Lee has said he's rallied enough Republicans to block a continuing resolution if that resolution continues to fund ObamaCare. Sens. John CornynJohn CornynKey Senate Republican offers dim outlook for Trump budget Overnight Cybersecurity: Flynn refuses to comply with Senate subpoena | Chaffetz postpones hearing with Comey | Small biz cyber bill would cost M | New worm spotted after 'Wanna Cry' Trump budget to call for 0 billion in Medicaid cuts MORE (Texas) and John ThuneJohn ThuneFive roadblocks for Trump’s T infrastructure plan Overnight Tech: FCC begins rolling back net neutrality | Sinclair deal puts heat on regulators | China blames US for 'Wanna Cry' attack Overnight Regulation: FCC votes to begin net neutrality rollback MORE (S.D.), both members of the Republican Senate leadership, support Lee's effort, as do prominent Republicans like Sens. Marco RubioMarco RubioDHS extends protected status for Haitians for six months Congress should let local communities set their own PACE Rubio: ‘People got what they voted for’ MORE (Fla.) and Ted CruzTed CruzGOP talks of narrowing ‘blue-slip’ rule for judges Abortion poses hurdle for Senate healthcare bill Senator's photo spurs caption contest MORE (Texas).

Meanwhile, 64 House Republicans are pushing for a similar effort in their chamber.