After making repealing the Affordable Care Act one of the top priorities of his presidential campaign, Donald Trump said Friday that he was open to keeping parts of the law intact.

In an interview with CBS's "60 Minutes" that will air on Sunday, President-elect Trump says he does not intend to replace every aspect of his predecessor's signature health care law.

In particular, he said he wanted to preserve rules that grant health insurance to people with pre-existing medical conditions and for children living with their parents.

"It adds cost, but it's very much something we will try to keep," Trump said.

Rep. Peter King, of Seaford, says that keeping the most popular parts of the health care law was always a part of the Republican "repeal and replace" plan.

"I supported Donald Trump, and I believed that Obamacare should be repealed," King told CNN. "But I always assumed that you would have a pre-existing condition provision in the revision or the amendment or the total repeal...That's always been, to me, one of the givens."

Despite keeping those aspects, King says the health care law would change dramatically.

Lisa Tyson, of the Long Island Progressive Coalition, says that worries her.

"These are the easiest aspects everyone wants him to keep, but he's still saying he's going to destroy a system that actually works," she says.