WASHINGTON — With a decision due by summer in a Supreme Court case that could unravel President Obama’s health care law, a new poll finds many Americans have heard nothing about the case.

But when the potential fallout is explained, most say it would hurt the country and they would look to Congress or the states to fix it.

Although recent oral arguments before the Supreme Court got national media attention, 53 percent said they were unfamiliar with the case, according to a Kaiser Family Foundation poll released Thursday.

Opponents of the law say its precise wording allows the government to subsidize coverage only in states that set up their own insurance markets, or exchanges. Most have not done so, defaulting to the federal HealthCare.gov.

When people were asked about the potential consequences of a Supreme Court ruling to deny financial assistance in states with federally-run insurance markets, 62 percent said that would have a negative impact on the country.

“The public is not making a legal judgment,” said Drew Altman, CEO of the foundation. “When it’s explained to them that some people will get help depending on whether the state or the federal government runs the marketplace, it does not seem fair to people. It does not make sense to the majority.”

The Kaiser foundation is a nonpartisan information clearinghouse on health care issues. The poll is the latest installment in its survey series, which has tracked public opinion since the inception of Obama’s overhaul

Overall, it found Americans remain divided over the health care law, which offers subsidized private insurance to people who don’t have access to it on the job, plus expanded Medicaid coverage for low-income adults in states that accept it. Forty-three percent view it unfavorably, while 41 percent have a favorable opinion.

The Supreme Court case is known as King v. Burwell. Supporters of the law argue that while the wording of particular provisions may be confusing, the clear intent was to provide benefits in all states.