However, Edwards has said he wanted to talk with Rivera, and possibly others, before making up his mind. The Eagles assistant is now available to talk after his team's third consecutive loss in the NFC title game.
Meanwhile, Edwards has lost out on other candidates.
And former Chicago Bears coach Dick Jauron will be Detroit Lions coach Steve Mariucci's defensive coordinator. Plus, former Bills head coach Gregg Williams, Edwards' first choice, will run Washington Redskins coach Joe Gibbs' defense.
The only other person to interview with Henderson is former New York Giants defensive coordinator Johnnie Lynn, and he's considered to be a long shot. Edwards was blocked from talking to Tampa Bay defensive line coach Rod Marinelli.
Neither Henderson, who coached the fourth-ranked pass defense that featured Pro Bowl selections in safety Ed Reed and cornerback Chris McAlister, or Rivera, a former Bears linebacker, has been a coordinator in the NFL.
"If Donnie was to get that job, we'd be extremely happy for him because he deserves to be a defensive coordinator," Billick said. "He's an excellent football coach who has done a great job for us."
Aaron Wilson writes for the Carroll County Times.