Republican National Committee Chairman Reince Priebus has prioritized reaching out to black Americans, but two of the three Black Republican Trailblazers he honored Tuesday suggested that Republicans face an uphill battle in appealing to black voters if the party continues to be identified with opposition to Obamacare.

“It’s not a perfect bill, it has a lot of flaws, but I think we need to work on it to improve it, yes,” Trailblazer award recipient Louis Sullivan, Health and Human Services secretary during George H.W. Bush’s presidency, told the Washington Examiner when asked after the ceremony at the Howard Theater in Washington if he likes Obama’s health care overhaul.