Dungy, who retired in January as the winningest coach in Colts history and left Tampa Bay with the same title after the 2001 season, has counseled Vick throughout the process. He met with him in prison and has been in regular contact with Vick since Goodell's decision.
And Dungy is convinced that Vick will continue making these appearances even if he returns to the NFL.
"What we've talked about is how you balance this when you do get back to playing," Dungy said. "I said, 'You've got to carve out time for what's important.' I think he'll do that. I think he feels like his decisions let some of his fans down and he wants to make that right."
Where will Vick go?
Segal declined to say which teams are interested.
Dungy wouldn't divulge which coaches he's spoken with, only that his contact list is longer than the six NFL teams that have not publicly ruled out signing Vick.
"I've talked to a lot of people and a bunch of coaches who have said 'If it was up to me, we'd pursue it,' " Dungy said. "But this organization can't pursue it. That's how it's going to be."
Dungy is also promoting a movie intended to help high school coaches, athletes and their families cope with the pressures of sports and life. Topics include weight training, supplements, drug and alcohol abuse, decision-making on and off the field and how to deal with recruiting.
Though Dungy isn't giving any hints about where Vick will go, Dungy believes the former Atlanta Falcon will be with a new team before the movie's release date, Aug. 25.
"He's talked to a lot of people, and I don't know why I say this, but I think something will happen this week," Dungy said. "All you need is that one team. That is our prayer — that he finds that one team and that he finds the best opportunity to make it work."