His postseason performance, combined with the emergence of Shonn Greene, brings Jones? future with the Jets into question, the New York Daily News reports.
Jones has seen this story before. Jones was involved in a contract dispute with the team prior to the start of the season.
Jets general manager Mike Tannenbaum says he expects the running back to return next season.
"We expect T.J. to be back," Tannenbaum told the News. "There are some economic issues that obviously have to be looked at over the next month but we hope that he is back, and he's done a lot for our team, both on and off the field. We have a month to see how that plays out, but again, we hope to have him back."
The Jets have 17 free agents on their current roster, adding to the importance of keeping Jones.
The 31-year-old Jones is scheduled to earn $5.8 million in the final year of his current deal, according to the News.