Coach Gus Bradley publicly has supported Gabbert, but also stresses competition at every position -- that's all Henne wants.
"Sure, this is a great opportunity," Henne told The Florida Times-Union in a story published Thursday. "You've seen all the moves with quarterbacks going all over the league and this is one of those opportunities. There's a starting job open and let the best man win. I'm just going to give it my all.
"I'm still young. I'm only 27 years old in my sixth season. Aaron Rodgers started when he was five years in. I'm only a year behind right now. I'm a competitor. I'm going to compete."
General manager David Caldwell said in February the Jaguars need to build around Gabbert. The Jags didn't get involved in the free agency game of quarterback musical chairs, and they hold the No. 2 overall pick in the 2013 NFL Draft. However, the Jaguars have been secretive about their plans.
"We're ready to pick," Caldwell told NFL.com's Ian Rapoport. "So we know that there's 1-2 players there that we really like, so we feel good about that. But we're open to all options on that aspect, too."
At this point, former West Virginia quarterback Geno Smith is the clear-cut No. 1 quarterback in a class that doesn't contain a ton of star power. He could be the Jaguars' pick, but many teams are desperate for quarterbacks and he'll go high in the first round.
Are the Jags truly content with a Gabbert-Henne scenario? Probably not.
Follow Kareem Copeland on Twitter @kareemcopeland.