The 28-year-old told the team's website: "That's what Coach Gus said from the beginning, that it's going to be a competition to the end. Whenever he feels it's time to make that decision, he's going to make that decision."
Bradley added: "There are days they both look good, and today I thought they did look good. I can say we're pleased with both's progress. I told you before, I like it like this.
"We as a team like it like this, we're highly competitive every day where they are concentrating on just trying to stay within themselves and do what they need to do. I think it's very healthy for the team."
The Jaguars play the Miami Dolphins on Friday.