A report by Bleacher Report said the Falcons were in line for Norman, among various other teams. Dimitroff was asked if the team indeed had plans to pursue Norman.
"Obviously that happened and a lot of people were being mentioned in the reports, and that's not a direction we're going," Dimitroff said.
According to ESPN.com's David Newton, 10 teams have expressed interest in Norman, including the NFC South's Tampa Bay Buccaneers. Carolina rescinded the franchise tag on Norman, making him a free agent. And Norman wants between $15 million and $16 million per year in a long-term deal, Newton reported.
The Falcons currently have $8,533,201 in cap space, according to ESPN Stats and Information.
Despite their lack of interest in Norman, the Falcons do need help at cornerback. Jalen Collins, the team's second-round pick from last year, is suspended without pay for the first four games of the 2016 season for violating the league's policy on performance-enhancing substances. Collins struggled as a rookie and didn't contribute, and it remains unclear how much the Falcons will get out of him in Year 2.
Pro Bowler Desmond Trufant and Robert Alford are the likely starters, although Alford saw some time at nickel back last season as the coaches tried to work Collins into the lineup. Still, the Falcons need more depth.
"I think there's like two positions that we'll probably always say, 'Keep coming, keep coming,' and it's pass-rushers and corners," coach Dan Quinn said. "That part of our game isn't changing. When you're really at your best, there's going to be a number of guys who play at that spot.
"(Cornerback) is an important position for sure. We like the guys with the speed and the length. But it doesn't mean you have to be sub-4.4 just to play in this system. That's not what we're saying at all. It's certainly a position that we love evaluating and looking at."
Free agent Phillip Adams is a cornerback who would love to return to the Falcons, if possible.
"I love the city; the energy to me is electric in the Dome," Adams told ESPN.com "It's close to South Carolina, where I'm from, and family, friends can watch."