The Titans considered severing ties with Britt in the summer, when there was discussion in the organization about whether they should release him. Knowing his talents, the team held on to him.
But with Britt's contract up after this year, and with the Titans having invested high draft picks in wide receivers Kendall Wright and Justin Hunter, it makes sense for Tennessee to listen to offers.
Britt suffered a fractured rib on a bad landing after going up for a pass against the Chargers last week. He was inactive for Sunday's game against the Jets.
He caused a stir earlier this month with a tweet about how he expects this to be his last season with the team. He suggested he was getting blamed for mistakes he wasn't making, the same way he felt former Titans tight end Jared Cook did a year ago. He later tried to clarify the tweet and said he hopes the Titans want him back next season and that he would like to be back.
ESPN.com Titans reporter Paul Kuharsky contributed to this report.