Rep. Thomas Massie (R-Ky.) has been a long-time proponent of passing a government funding bill that targets the healthcare law, and was one of 43 Republican members to endorse a bill that would zero out ObamaCare funding.

Such a budgetary measure essentially could lead to a government shutdown, as it's unlikely such a bill would make it through the Senate with the ObamaCare provisions intact.

Establishment Republicans have warned conservatives that a shutdown could backfire on the party in 2014.

But asked by The Hill what he thought of comments made by Rep. Tom Cole (R-Okla.) that it would be a "suicidal political tactic," Massie said he thought the real political peril would be for vulnerable Democratic senators.

"No. In fact, I think if we get this bill out of the House and over to the Senate it'll be political suicide for the Democrats in red states that are up for election in the Senate. That's why I think we should send it over there and let them vote on it," he said.

Sens. Mary LandrieuMary Loretta LandrieuCongress needs to work to combat the poverty, abuse and neglect issues that children face Dems wrestle over how to vote on ‘Green New Deal’ Lobbying world MORE (D-La.), Mark BegichMark Peter BegichAlaska political mess has legislators divided over meeting place Former GOP chairman Royce joins lobbying shop Lobbying world MORE (D-Alaska), Mark PryorMark Lunsford PryorMedicaid rollback looms for GOP senators in 2020 Cotton pitches anti-Democrat message to SC delegation Ex-Sen. Kay Hagan joins lobby firm MORE (D-Ark.) and Kay HaganKay Ruthven HaganTillis trails Democratic challenger by 7 points in North Carolina poll North Carolina businessman will challenge Tillis in GOP primary Embattled senators fill coffers ahead of 2020 MORE (D-N.C.) are all running for reelection in states President Obama lost in 2012, and Republicans are planning to make the president's signature health care law an issue in their races.

A recent Pew poll showed that a majority of Americans disapprove of the law, but of those who disapprove, a slight plurality, 27 percent, say lawmakers should try to make the law work as well as possible.

Massie cited a Rasmussen poll in response, released Tuesday, that showed 51 percent of voters support a partial shutdown until the two parties agree what spending for the health care law to cut.