Former Alaska Gov. Sarah Palin (R) is jumping on the push to defund ObamaCare by threatening a government shutdown. 

Palin urged lawmakers to demand that a government funding bill include no funding for ObamaCare in an email sent out by the Senate Conservatives Fund, a group running ads pressuring Republican senators to back the effort. 

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"The time for rhetoric and ceremonial votes in Congress is over," Palin wrote in the email. "The time to take serious action to stop Obamacare is now. Join us in urging Senators — Don't Fund Obamacare! Just remember — if you fund it, you own it!"

Palin remains popular among grassroots conservatives and her support could fuel additional Tea Party backing for the defund ObamaCare position.

Sens. Ted CruzTed CruzGOP hasn’t reached out to centrist Dem senators Left threatens Trump-friendly senators with primary challenges Overnight Healthcare: GOP looks for ObamaCare path as right lashes out MORE (R-Texas), Mike LeeMike LeeGOP hasn’t reached out to centrist Dem senators Overnight Healthcare: GOP looks for ObamaCare path as right lashes out GOP looks for ObamaCare path as right lashes out MORE (R-Utah) and Marco RubioMarco RubioRubio: Lack of GOP consensus on healthcare is not a 'weakness' Overnight Finance: Trump budget faces GOP resistance | House panel blocks Dem effort on Trump's business ties | Corporate giants at odds over border tax Rubio defends foreign aid amid proposed cuts MORE (R-Fla.) are among the conservatives who argue the GOP should risk a government shutdown over defunding ObamaCare. 

But other Republicans are sounding the alarm bells about the strategy, arguing the GOP will be blamed for a shutdown. 

Some even argue forcing a shutdown would be the only way Republicans could lose their House majority next year. 

Speaker John BoehnerJohn BoehnerGood talk, Mr. President, but America is still not buying what you're selling Lobbying World Ryan: We are really 'in a rescue mission' with healthcare MORE (R-Ohio) is calling for his party to back a short-term government funding bill set at the levels of the sequester, which imposed automatic spending cuts on the government. He is not advocating that the bill strip all funds for ObamaCare.