According to The Daily Caller, Bill Clinton serves as an honorary co-chair for the organization along with former President Jimmy Carter. The CPD also lists deceased former Republican presidents Ronald Reagan and Gerald Ford as honorary co-chairs.

"It is unclear, however, how Carter and Clinton function in these roles," wrote reporter Kerry Picket. "Additionally, considering Jeb Bush's run for the presidency, if it is an issue of simply lending one's name to a board and not participating in any process, it is unknown why both former presidents George W. Bush and his father George H.W. Bush are not included as honorary chairs," she added.

Hot Air notes that CPD chairman Michael D. McCurry served as press secretary during Bill Clinton's presidency.

[RELATED: DONEGAN: If GOP Debate Stage Can Fit 11, Let Third Parties In General Election Debates]

If current Democratic Party presidential primary frontrunner Hillary Clinton ends up winning her party's nomination, Bill Clinton and Michael McCurry's roles on the board governing U.S. general election presidential debates could potentially pose a conflict of interest.