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It's the group's third radio ad hitting incumbent senators over the issue. SCF on Tuesday launched ads targeting Sens. Lindsey GrahamLindsey Olin GrahamProgressive support builds for expanding lower courts McConnell backs Garland for attorney general Senate GOP campaign chief talks strategy with Trump MORE (R-S.C.) and Richard BurrRichard Mauze BurrOvernight Health Care: COVID-19 vaccine makers pledge massive supply increase | Biden health nominee faces first Senate test | White House defends reopening of facility for migrant kids Romney presses Becerra on vote against ban on late-term abortions Biden health nominee faces first Senate test MORE (R-N.C.) for their opposition to a threatened government shutdown over defunding ObamaCare.

The ad targeting Alexander is notable because he's been an outspoken opponent of the law.

The top Republican on the Senate Health, Education, Labor, and Health Committee, Alexander has previously called the law "a historic mistake" and repeatedly voted for its repeal and to delay its implementation.

But he wasn't one of a handful of Republicans to sign onto a letter circulated by Tea Party Sen. Mike LeeMichael (Mike) Shumway LeeOvernight Health Care: US surpasses half a million COVID deaths | House panel advances Biden's .9T COVID-19 aid bill | Johnson & Johnson ready to provide doses for 20M Americans by end of March 11 GOP senators slam Biden pick for health secretary: 'No meaningful experience' Lee after Romney's impeachment vote: There's enough room in GOP 'for both of us' MORE (R-Utah) pledging to oppose a government funding measure, and effectively shut down the government, if the measure doesn't include a provision defunding ObamaCare.

The SCF ad charges that "Republicans in Congress can stop ObamaCare by refusing to fund it, but Senator Lamar AlexanderLamar AlexanderCongress addressed surprise medical bills, but the issue is not resolved Trump renominates Judy Shelton in last-ditch bid to reshape Fed Senate swears-in six new lawmakers as 117th Congress convenes MORE refuses to join the fight."

"Lamar Alexander voted to give President Obama money to implement ObamaCare earlier this year, and he'll do it again if you don't make your voice heard," a narrator ads.

The ad warns that the law is a "job killer" and a "liberal train wreck," and calls for listeners to sign a petition urging Alexander to join the defunding effort. It's backed by a $45,900 buy and will run on Tennessee radio for two weeks beginning Thursday.

Alexander looks well-poised for reelection, but SCF has long criticized the Senator and recently blasted him for his support of the immigration reform law that passed the Senate earlier this year.

He received his first primary challenger in state Rep. Joe Carr, who entered the race this week, but SCF's executive director, Matt Hoskins, indicated the group is unlikely to back him.

“If Carr doesn’t catch fire and a more compelling conservative enters the race, he could be the spoiler that helps re-elect Lamar Alexander. That’s something we want to avoid," he told The Tennessean.

The SCF ad is, however, an indication the group is still watching the race and looking for a stronger challenger.