Although President Donald Trump has voiced his full support for his party’s proposed health care bill, one of his top advisors insists that his name should not be attached to it.

During an interview on Fox News Wednesday morning, host Bill Hemmer asked Kelly Conway if it would be okay to call the GOP’s new health care legislation “Trumpcare,” just like how former President Obama’s health care act is referred to as “Obamacare.”

Trump’s top advisor, however, insisted that Trumps’ name should not be on the bill.

“It’s the American Health Care Act, and I think it’s aptly named that for this reason,” she explained. “It wants to cover, it wants everyone to have access to coverage, and that is something that didn’t happen under Obamacare… I’ll call it Trumpcare if you want to, but I didn’t hear President Trump say to any of us, ‘I want my name on that.’ It’s not about branding according to someone’s name. This is serious business.”

Conway also criticized Democrats for claiming that more people have health care because of Obamacare when so many health plans have high deductibles and co-payments.

Some industry groups and independent analysts have studied Trumpcare and claim that millions of people would lose their insurance plans and older patients will see a rise in rates, making it less affordable.