Butler will meet with a surgeon in Nashville sometime Monday to determine whether surgery is required, according to the source.
NFL Network was first to report that Butler broke his wrist.
Samuel came down with the ball in the end zone, but Butler stayed down after the play. The trainers helped Butler into the locker room while trying to stabilize his wrist. He was ruled out early in the third quarter.
Reserve cornerback LeShaun Sims started the second half at right cornerback in place of Butler. The six-year veteran has two interceptions this season, including one last week against the Buccaneers that he returned 23 yards to set up a touchdown for Tennessee in their 23-20 win.
Losing Butler is a major blow to the Titans' secondary, which was giving up an average of 236.3 passing yards per game entering Week 9. Butler's 66 snaps per game is the highest average among the Titans cornerbacks. Tennessee employs five or more defensive backs an average of 57.8 plays per game. Most of their sub packages have at least three cornerbacks on the field at the same time.
The Titans return home next week to face the Chiefs. Kansas City may be getting Patrick Mahomes back for that game, which spells trouble for a Tennessee secondary without one of its top cornerbacks.