Two sources close to the health care legislative process told CNN on Wednesday that the renewed effort comes as Congress returns from recess next week and the Trump administration is fielding questions about its legislative accomplishments during its first 100 days in office.
"I don't think it's impossible to think we'll have a vote," a senior administration official said.
But the official cautioned that some Republican House members are still at odds over some of the bill's points.
"I don't think it's having to rewrite the bill. It's just a total trust gap. As soon as we solve that, we can have a vote," he said.
On March 24, Trump and House Speaker Paul Ryan pulled the Republican health care bill from consideration after it became clear that it did not have enough votes to pass the legislation, in part because of near-unified opposition from the Freedom Caucus.
The Freedom Caucus is made up of several dozen Republican members of Congress who exert their influence as a voting bloc with an aim to push legislations in a more conservative direction.
On Tuesday while in Wisconsin, Trump said he was confident about the chances of Congress passing a health bill soon, reports CNN.
"We are going to have a big win soon, because we are going to have health care and that's going to happen. And there was no lose with health care, this is just a constant negotiation and the plan is getting better and better all the time."