At his first news conference as president-elect Wednesday, Trump said Republicans would submit "repeal and replace" plans "almost simultaneously" after his pick for secretary of health and human services is confirmed.
"It will be essentially simultaneously. It will be various segments, you understand, but will most likely be on the same day or the same week but probably the same day. Could be the same hour," he said. "We're going to do repeal and replace. Very complicated stuff."
On Tuesday, Trump told The New York Times that Republicans "have to get to business" on repealing and replacing the Affordable Care Act, or "Obamacare," and said a repeal vote would come "sometime next week," with a replacement vote "very quickly or simultaneously."
GOP leaders voiced support for a repeal and delay strategy for "Obamacare" after the elections — a quick or immediate repeal vote that would phase out the law over a number of years, giving lawmakers time to construct a replacement.
"That's the timetable we're working under," he said on "The Hugh Hewitt Show."
Today the Senate will begin the process of constructing a repeal bill with a marathon vote to begin the budget reconciliation process. The House is expected to vote on it later this week, which would instruct relevant committee to start working on repeal language.
But some Republicans want Congress to take more time to begin this process and push back a nonbinding deadline for the committee to put together a replacement.
In the Senate, Republicans need just 51 votes to pass a repeal of the law but 60 to approve any comprehensive replacement plan.
"I just want to make sure we've done something that's prudent and not just a political point," he added. "There's consternation on both sides of the building."
He said that work on replacement could be done in a gradual, piecemeal fashion.
House conservatives are reluctant to vote on a budget measure until they know more about plans to replace "Obamacare."
Roughly 20 million people have received health care coverage under President Obama's signature health care law. According to new data from the Department of Health and Human services, 300,000 more people signed up for health insurance this year than last year, as of late December 2016.
ABC's Jonathan Karl contributed to this report.