Sen. Marco RubioMarco Antonio RubioWisconsinites need infrastructure that is built to last  Republicans struggle to save funding for Trump's border wall Rubio: Dropping FARC from terrorist list threatens Colombians, US security MORE (R-Fla.) argued Thursday that it’s President Obama, not Republican leaders in the House and Senate, who is responsible for threats of a government shutdown over the implementation of ObamaCare.

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"This September, Congress will have to pass another short term spending bill to fund the federal government,” Rubio wrote in an op-ed for Fox News. 

“We should pass one that keeps the government open, but doesn't waste any more money on ObamaCare. The president and his allies – and even some Republicans – will accuse us of threatening to shut down the government. In fact, it is President Obama who insists on shutting down the government unless it funds his failed ObamaCare experiment.”

Sen. Mike LeeMichael (Mike) Shumway LeeCongress's goal in December: Avoid shutdown and default No deal in sight as Congress nears debt limit deadline Republicans struggle to save funding for Trump's border wall MORE (R-Utah) says he’s recruited more than a dozen Republican colleagues willing to shut down the government by blocking a continuing resolution to fund the government beyond Sept. 30 if it includes funding for ObamaCare.

The second- and third-ranking members of Republican leadership, Sens. John CornynJohn CornynCongress's goal in December: Avoid shutdown and default Mental health: The power of connecting requires the power of investing Senators call for Smithsonian Latino, women's museums to be built on National Mall MORE (Texas) and John ThuneJohn Randolph ThuneSenate nearing deal on defense bill after setback Congress's goal in December: Avoid shutdown and default No deal in sight as Congress nears debt limit deadline MORE (S.D.), have said they support Lee’s plan, as do influential conservatives and potential presidential candidates Sens. Marco Rubio (Fla.) and Ted CruzRafael (Ted) Edward CruzSenate nearing deal on defense bill after setback Congress's goal in December: Avoid shutdown and default Overnight Defense & National Security — US, Iran return to negotiating table MORE (Texas).

A number of conservative groups are pressing Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellSenate nearing deal on defense bill after setback On The Money — Powell pivots as inflation rises Schumer eyeing Build Back Better vote as soon as week of Dec. 13 MORE (R-Ky.) to back Lee. Heritage Action endorsed the effort on Tuesday, and the Club for Growth penned a letter to McConnell on Wednesday urging him to sign on to the plan.

In addition, 64 House members have signed on to a similar effort to try and block the president’s signature healthcare reform law, with some arguing the GOP could use the debt ceiling as leverage against its implementation.

However, two Republican senators – Roy BluntRoy Dean BluntPress: For Trump endorsement: The more sordid, the better Republicans seem set to win the midterms — unless they defeat themselves This Thanksgiving, skip the political food fights and talk UFOs instead MORE (R-Mo.) and John McCainJohn Sidney McCainGOP senators appalled by 'ridiculous' House infighting MSNBC's Nicolle Wallace, Chris Christie battle over Fox News Trump's attacks on McConnell seen as prelude to 2024 White House bid MORE (R-Ariz.) say they oppose efforts to shut down the government to block funding for ObamaCare.

Rubio on Thursday said the law should be replaced with “market-based” reforms.

“It is time to admit that ObamaCare isn't going to work, decide not to waste a single cent more on it, and replace it with market-based reforms that will give people more health insurance choices and options,” he wrote.