(CNN) Donald Trump is still one day away from taking the oath of office.

But on Capitol Hill, where Republican leaders have started the process of rolling back major parts of Obamacare and now face intense pressure to offer an alternative to the law as quickly as possible, the incoming president's thoughts on the matter have quickly become a political liability.

Trump unexpectedly revealed over the weekend that his own plan to repeal and replace the Affordable Care Act was nearing completion, and promised that it would provide "insurance for everybody" -- not to mention lower deductibles.

Republican Sen. Orrin Hatch, the chairman of the Senate Finance Committee, bristled at Trump's pledge to provide coverage for everyone, saying that it amounted to an overly ambitious promise.

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