Ryan and his House GOP colleagues have tried numerous times to repeal the law but were never able to during Obama's tenure. With Trump's surprise win, Republicans are set to control Congress in addition to the White House, putting Obamacare repeal and other GOP priorities within reach.
The Wisconsin Republican said he wanted to stress that a "reasonable" transition period would follow a repeal, "so we're not pulling the rug out from under people midstream." He said Americans are concerned about losing their coverage immediately if the law is gutted.
About 20 million people are covered under Obamacare, the Department of Health and Human Services said earlier this year.
Ryan's agenda includes a possible replacement plan for the health care law. It would rely on individual tax credits, expand health savings accounts and allow insurance sales across state lines.
Trump's replacement plan on the campaign trail was less clear, but he has supported interstate insurance purchases and the re-establishment of high-risk pools.