Roethlisberger told the Pittsburgh Post-Gazette last year that Bryant lied to him and that the team felt "let down" by the wideout after he was suspended for the season.
"I feel like we need to (talk)," Bryant told ESPN. "We should have a man-to-man. Because some of the things he put out there about me, I kind of didn't agree with how he did it. So I want to sit down and hear his own opinion, man-to-man, about why he did that."
Bryant was suspended four games in 2015 and the entire following season for violations of the league's substance abuse policy.
"At that time, I was going through a lot of stuff. I wasn't really even worried about his opinion at that time, because there was just a lot that was going on," Bryant said. "He's my brother. I love him.
"But at the same time, I have my own family outside of football. I have my own problems. I'm not just going to come up to you and open up to you about what's going on with my personal life. That's not how I am. We just didn't see eye-to-eye on that, but as far as right now, everything's great."
Bryant, who was conditionally reinstated by the league in April, has recorded 76 receptions for 1,314 yards and 14 receiving touchdowns in 21 career games. He also had eight rushes for 49 yards and a touchdown.