In fact, as reported by Politico, a renewed push to repeal Obamacare to coincide with President Donald J. Trump's 100th day in office may be in the works. (RELATED: As Trump Approaches His 100th Day, Here Are The Promises He's Kept And Is Likely To Keep)

The site noted that the administration wants another vote and soon – as in next week – as the legislative text of a potential deal over what the new repeal bill will look like is expected to make the rounds on Capitol Hill by Friday "or the weekend," two senior White House officials said.

The plan is to get a new bill to the House floor by next Wednesday or Thursday, the sources noted.

But GOP congressional leaders, who were widely blamed for the first Obamacare repeal-and-replace failure, are not so sure a vote can happen that quickly. "The question is whether it can get 216 votes in the House and the answer isn't clear at this time," a senior Republican aide told Politico. "There is no legislative text and therefore no agreement to do a whip count on."

Politico reported further:

Administration officials are feeling inordinate pressure to pass the legislation because of Trump's impatience and fears that his failure to repeal the health care law will dominate coverage of the administration's first 100 days, which end next week, officials say.

As to Trump's "impatience," the president himself told Fox Business' Maria Bartiromo last week that he was continuing to negotiate a repeal-and-replace measure, and that negotiations had been ongoing since the failure of the first bill, which was pulled before it was even introduced after Republican leaders realized they did not have the votes to pass it.

The new bill is "close" to getting the necessary 216 votes, a senior official told the website, but it's unclear if that number can be reached since many lawmakers "don't want to commit without seeing the text" of the legislation.