While both players were members of the Dolphins, Incognito allegedly participated in a number of threatening, racially-insensitive incidents targeting Martin. Neither player is with the team at this time, and the general manager who brought them to Miami, Jeff Ireland, has been fired.
"I'm a grown man. I've been in locker rooms," Martin told Dungy.
"One incident doesn't bother me. It was the persistence. I felt trapped, like I didn't have a way to make it right. I thought it was best to remove myself from the situation."
Dolphins owner Stephen Ross held a press conference Tuesday to introduce new general manager Dennis Hickey.
Asked if Martin or Incognito would be returning to the team in 2014, Ross said, "I don't believe so," before adding, "Well, I can't say that. Therefore, I retract that. One is a free agent, by the way, the other is on our roster."
The Dolphins finished the 2013 season at 8-8. A full report about the alleged bullying is expected to be released after the Super Bowl. Martin’s interview with Dungy will also air on Pro Football Talk on NBCSN on Wednesday.