The President-elect made the apparent U-turn after his meeting with Obama at the White House this week, according to the Wall Street Journal.
In an interview with the newspaper, Trump said his priority is to move "quickly" on Obamacare, which has become "expensive and unworkable".
At the same time, he "showed a willingness to preserve at least two provisions" of the law after the outgoing president Barack Obama asked him to reconsider repealing it during their meeting at the White House on Thursday, the daily said.
According to the Journal, Trump said he favours retaining a key part of Obamacare that stops insurers from refusing to cover people because they have existing conditions, as well as a provision that allows parents to provide years of additional coverage for children on their insurance policies. "I like those very much."
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Trump also appeared to be committed on his promises of bringing jobs back through improved international trade deals and massive infrastructure investment, besides focusing on defeating ISIS.
infrastructure projects and improved international trade deals.
He also said he would preserve American jobs by potentially imposing tariffs on products of US companies that relocate overseas, thereby reducing the incentive to move plants abroad, the Journal reported.
Trump so far has spoken to several world leaders including Prime Minister Narendra Modi. He is yet to speak with Chinese President Xi Jinping and the Russian President Vladimir Putin. Trump said he got a "beautiful" letter from Putin.
On Syria, he said his main focus would be defeating ISIS rather than removing its current president Bashar al-Assad.
If the US attacks Assad, Trump said, "we end up fighting Russia, fighting Syria."
On the Israel-Palestine conflict, Trump said hopes to craft a deal.
"That's the ultimate deal. As a deal maker, I'd like to do the deal that can't be made. And do it for humanity's sake," Trump told the daily.