Quinn was the only one of four known candidates to get a second interview, which happened Monday when he met face to face with coach Mike McCarthy and owner Jerry Jones.
Quinn was sacked as Falcons coach five games into the 2020 season.More news: Australian man arrested in Germany accused of running 'world's largest' Darknet marketplace
The team held virtual interviews with Falcons defensive passing game coordinator Joe Whitt Jr. and Carolina Panthers defensive passing game coordinator Jason Simmons on Sunday. Dallas allowed a franchise-record 473 points (29.6 per game) and finished 31st in the National Football League in run defense while going 6-10.
McCarthy never called the Dallas scheme a 3-4, although it was closer to that than the 4-3 approach that figures to return with Quinn.
The Dallas Cowboys fired Mike Nolan as their defensive coordinator after just one season and they didn't waste time finding his replacement. His top priority will be fixing a run defense that nearly gave up 300 yards on the ground in a game twice.More news: TCL kicks 2021 off with new phones
The Cowboys switched to the 4-3 in 2013 when Rod Marinelli joined the staff and eventually became defensive coordinator. Dallas allowed a franchise-record 307 yards rushing in a 49-38 loss to Cleveland.
Quinn's defenses in Atlanta, however, did not follow suit. Quinn will look to invoke the performances he coordinated while in Seattle when he was part of a Super Bowl victor and had back-to-back No. 1-ranked defenses. He took Atlanta to the Super Bowl in his second season. The Falcons were leading the game 28-3 in the third quarter, but allowed the New England Patriots to come back and win the game 34-28 in overtime. He had a 43-42 record in a little more than five seasons. He was Florida's defensive coordinator for two seasons before joining the Seahawks.More news: Renault F1 boss Abiteboul to leave team ahead of Alpine shake-up