Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellTrump 'no longer angry' at Romney because of Supreme Court stance On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline The Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power MORE (R-Ky.) defended the Trump administration’s decision to join a lawsuit that seeks to overturn ObamaCare and its protections for people with pre-existing conditions.

“It’s no secret that we preferred to start over" to repeal and replace Obamacare, McConnell said in a newly published interview with Bloomberg. “So no, I don’t fault the administration for trying to give us an opportunity to do this differently and to go in a different direction.”

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The lawsuit was filed by leaders in Texas, along with 19 other Republican state attorneys general, and calls for all of ObamaCare to be overturned as unconstitutional. The Trump administration is supporting the states in court, arguing specifically that the sections of the law protecting people with pre-existing conditions from being denied coverage or charged more should be overturned.

Democrats have made the case a signature issue in the midterm elections, especially vulnerable red-state candidates like Sens. Joe Manchin Joseph (Joe) ManchinSenate passes resolution reaffirming commitment to peaceful transition of power Hopes for DC, Puerto Rico statehood rise Manchin defends Supreme Court candidate Barrett: 'It's awful to bring in religion' MORE (W-Va.) and Claire McCaskill Claire Conner McCaskillMomentum growing among Republicans for Supreme Court vote before Election Day Democratic-linked group runs ads in Kansas GOP Senate primary Trump mocked for low attendance at rally MORE (Mo.). They’ve been blasting Republicans over the lawsuit, and warning that their GOP opponents want to abolish popular protections for pre-existing conditions.

Republicans in tight races recognize their vulnerability on pre-existing conditions and have sought to alter their positions on the issue. Multiple Republicans, including most recently Sen. Ted Cruz Rafael (Ted) Edward CruzThe Hill's Morning Report - Sponsored by Facebook - Trump previews SCOTUS nominee as 'totally brilliant' Cruz blocks amended resolution honoring Ginsburg over language about her dying wish Trump argues full Supreme Court needed to settle potential election disputes MORE (Texas), have softened their stance.

But the argument they are making has been complicated by their party’s repeated efforts to repeal ObamaCare, including pre-existing conditions protections.

McConnell said he sees no problem in Republicans trying to use the courts to accomplish their goal of repealing ObamaCare.

“Nothing wrong with going to court. Americans do it all the time; we can do it, too," he said.

The Kentucky Republican also said he was not concerned about the lawsuit being a liability on the campaign trail.

“Our candidates are able to deal with it,” McConnell said in the interview. "There’s nobody in the Senate that I’m familiar with who is not in favor of coverage of pre-existing conditions."

Republicans have introduced some bills in Congress that they argue would be able to protect people with pre-existing conditions if the law is struck down. Critics say none of the bills go far enough, and they still allow insurers to charge unaffordable rates for people with pre-existing conditions.