The Bears have given safety Chris Harris and his agent, Albert Elias, a chance to explore a trade to another team.
The NFL's trade deadline is Tuesday afternoon.
However, with his contract, which pays him $1.095 million this season, set to expire, other teams may be reluctant to give up a draft pick for Harris, even though a handful of teams have needs.
"I'm pretty sure the percentage of a trade going down is not very high, considering the amount of time we have," Harris said. "But crazier things have happened."
Chris Harris Wants Bears To Trade Him