Jones is only 26, but he hasn't played since 2008, when he averaged 4.5 yards per punt return on 21 chances over nine games with Dallas. He previously returned punts for the Titans in 2006, averaging 12.9 yards and scoring three touchdowns on his 34 returns.
This would have to be a low-risk transaction for the 49ers or any team to seriously consider Jones, whose off-field troubles have overshadowed anything he accomplished in the game. Significant money presumably would not be on the line.
Teams talk about wanting high-character players and that's genuine to a degree, but these decisions often come down to how much money is at risk. If a team could sign Jones and then easily cut him, the risks are minimized.
The 49ers could certainly use help in their return game.
Update: 49ers player personnel director Trent Baalke says the 49ers have no interest in Jones, contrary to comments from Jones' agent.