ESPNChicago.com reported that Hayden was scheduled to visit the Bears on Monday. The Bears are one of several teams to show interest in Hayden, who was released by the Indianapolis Colts late last month.
"If he comes in, I think that means one of us would have to leave," Jennings said. "But I think it would be great for the team, we go after one goal here, and that's to get better and win a championship. If they think that's the move they have to make, to make things happen, I'm all for it. That's just the nature of the game, you can't control none of that. I just have to control what I do out there."
If Hayden decides to sign with the Bears, Bowman and Jennings might be viewed as expendable because the club could opt to keep only six cornerbacks. Charles Tillman, starting nickel back D.J. Moore and the recently re-signed Corey Graham figure to be roster locks, while the organization is fairly high on 2010 fifth round pick Joshua Moore.
Jennings, entering his sixth NFL season, put together a solid 2010 season for the Bears after being named a starter in Week 4. The cornerback finished third on the team with nine passes broken up, and displayed an aggressive nature in run support, recording 66 total tackles. Jennings played with Hayden in Indianapolis from 2006-2009.
Bowman has made 15 career starts and intercepted six passes in 2009.
Both players are entering the final year of their contracts.
"I do like it here," Jennings said. "I like the defense and everything, al the guys here. I would love to stay here and continue this run we have even if Kelvin is here, because I think he can help this defense. But it's just the nature of the business. Hopefully [if something were to happen] my film would keep me around a little longer."