The person spoke to the Associated Press on the condition of anonymity Thursday because the team has not publicly announced the injury.
It's the same injury that has sidelined Bobcats forward Corey Maggette for the last 15 games.
Henderson, who is averaging 15 points and 4.4 rebounds this season, suffered the injury in the third quarter of Wednesday night's 112-68 loss to Portland. He left the game and did not return.
Matt Carroll could start in Henderson's absence.
The Bobcats are also without starting point guard D.J. Augustin.
Charlotte (3-20) plays at Phoenix on Saturday night, the third of a four-game trip.