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The group is making a pledge to support a full repeal of the healthcare reform law, as well as opposing any bill or budget that includes funding or enforces any aspect of the law, a consideration in its endorsement process.

It's yet another indication that the group is keeping an eye on Senate Minority Leader Mitch McConnellMitch McConnellMcConnell breaks with Trump on NATO McConnell: Senate could vote on 3 Trump nominees Friday Dems engage in friendly debate for DNC chair MORE's (R-Ky.) primary fight. The group said recently it was open to backing primary challenger Matt Bevin, and McConnell has so far refused to support efforts to defund ObamaCare.

Bevin picked up the endorsement of another conservative group, the Madison Project, on Monday.

"A lot of Republicans say they oppose Obamacare when they're campaigning, but few are actually willing to do what it takes to stop it," said Senate Conservatives Fund Executive Director Matt Hoskins in a release. "This new pledge is for those who are willing to fight Obamacare by supporting its repeal and also by opposing its funding."

The pledge comes as a handful of conservative Senators, led by Sen. Mike LeeMike LeePaul, Lee call on Trump to work with Congress on foreign policy Right renews push for term limits as Trump takes power Conservatives press Trump on Supreme Court pick MORE (R-Utah), are circulating a letter pledging to oppose any budget that includes funding for ObamaCare.

Florida Sen. Marco RubioMarco RubioTop Dem: Don’t bring Tillerson floor vote if he doesn’t pass committee Booker to vote against Tillerson Rubio wades into Trump-Lewis feud MORE, Texas Sen. Ted CruzTed CruzCaitlyn Jenner to attend Trump inauguration: report Trump’s UN pick threads needle on Russia, NATO Haley slams United Nations, echoing Trump MORE and Kentucky Sen. Rand PaulRand PaulPaul, Lee call on Trump to work with Congress on foreign policy GOP senators introducing ObamaCare replacement Monday Sanders, Dems defend ObamaCare at Michigan rally MORE have all signed the letter, but other Republicans have criticized it, calling what amounts to a threat to shut down the government over ObamaCare unreasonable and unrealistic.

Lee insisted on Sunday his effort is not an attempt to shut down the government.

"We all know the government is going to get funded. The only question is if the government gets funded with ObamaCare or without it," said Lee on “Fox News Sunday.” "If we can delay it, we can stop its consequences, at least for now."