President Obama suggested on Sunday that the Affordable Care Act will survive the Republicans' efforts to to repeal and replace his signature health care law - even if it means changing the name from 'ObamaCare' to 'TrumpCare'.

Obama told ABC's 'This Week' that he would be the first person to laud the Republicans' if they can 'come up with a system that insures more people cheaper, better'.

More than 11 million Americans are insured under the current system, according to the latest enrollment data released by Health and Human Services.

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President Obama says the Affordable Care Act will survive beyond his presidency, and is at peace with name being changed from 'ObamaCare' to 'TrumpCare'

However, premium costs have risen, partly because young and healthy people, along with doctors and insurance companies, have dropped out of the system.

KellyAnne Conway and Reince Priebus, top advisers to Donald Trump, said the president-elect is still considering his options when it comes to the speed of fulfilling his promise longtime promise to replace the Affordable Care Act, Politico reported.

'Well, it really depends what - what the piece of legislation is', Conway said on CNN's 'State of the Union' when asked about a repeal date.

Trump repeatedly told voters throughout the campaign that he had a 'terrific' plan to change healthcare when he entered the White House

She was vague about Trump's health insurance plan, saying only that it would give Americans the ability to purchase insurance across state lines and to use health savings accounts.

Priebus was slightly more specific on the issue.

'I will tell you that it would be ideal if we could do it all in one big action', he said.

'But look. It may take time to get all the elements of the replace in place'.

GOP leaders are discussing a repeal of the act that would take effect two years or more after the initial vote to give them time to craft a replacement plan so that millions of Americans wouldn't lose coverage, Fox News reported.

Kentucky Sen Rand Paul has warned congressional Republicans not to repeal ObamaCare without a replacement for the health care law

But some conservatives, including Kentucky Sen Rand Paul, have said Congress should pass a replacement plan immediately.

Other senators have expresses surprise that the GOP Congress hasn't already figured out a solution to the complex issue, suggesting that a repeal should be delayed until a replacement plan is ready.

'I am shocked they don't have a plan', said former Pennsylvania Sen Rick Santorum on 'State of the Union.

'They should have put a little more work into it'.

Obama, who turns over the White House to Trump on inauguration day on Jan 20, suggested he wanted to make the kind of changes to the Affordable Care Act that Republicans in control of Congress are seeking.

More than 11 million Americans are insured under the Affordable Care Act, according to the latest enrollment data released by Health and Human Services

'But they wouldn't cooperate because they didn't want to make the system work', Obama said.

Senate Republicans took the first steps to repeal the act on Tuesday, the first day of the 115th Congress.

Republicans successfully defined themselves in opposition to the Affordable Care Act, which passed in 2010 with no GOP votes.

They now are under heavy pressure from voters, who expect Trump's 'Day One' promises to end the Affordable Care Act to be fulfilled, despite not having a replacement plan.