The cornerback is due to become a free agent next month, but has already had talks with the NFC North side over a contract extension.
The 32-year-old told WSCR-AM 670: "I really in all honesty think it's too early to tell, I'm not really worried about it.
"All I can say is there is no bad blood between myself and the Bears. I just saw [owner Virginia Halas McCaskey], talked to her, nice person, great lady, great organisation. There's no bad blood between myself and the Bears. We're all on great terms, doors are open."
Tillman has said that if he were to join another team, he would like to sign a one-day contract with the Bears later in his career in order to retire with the team.