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 CruzFEC faults Cruz on Goldman Sachs loans in rare unanimous vote CBO score underlines GOP tensions on ObamaCare repeal Republicans go to battle over pre-existing conditions MORE (R-Texas), Mike LeeMike LeeRepublicans go to battle over pre-existing conditions Senate gears up for fight on Trump's 0B Saudi Arabia arms sale Senate feels pressure for summer healthcare vote MORE (R-Utah) and Marco RubioMarco RubioSenate panel could pass new Russia sanctions this summer McConnell on Trump: 'We could do with a little less drama' Taking the easy layup: Why brain cancer patients depend on it 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 BoehnerTrump aide: Boehner is the disaster Boehner: Tax reform is 'just a bunch of happy talk' Lobbying World 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.