"Both want to make it work," one NFL source told the newspaper. "(Stephen) Ross wants more management experience" in the front office.
One source told the Herald that Peterson had not reached a deal as of early Wednesday, with his specific responsibilities and compensation still needing to be agreed upon. If Peterson does in fact join the organization, the newspaper reported, he potentially could serve as the team's executive vice president of football operations.
Peterson worked for the Chiefs as team president, CEO and general manager from 1989 to 2008, a period in which Kansas City went 176-141-1 with nine playoff appearances.