The person spoke to The Associated Press on Thursday night on condition of anonymity because the team hasn't confirmed the surgery or Watts' roster status.
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Watt, the NFL sacks leader last season with 17 1/2, will miss the start of training camp, but is expected to be ready for the season opener.
Watt spent most of the offseason recovering after having surgery to repair a groin injury in January.
His performance last season helped the Texans to their first playoff berth since 2012 and gave him his second straight Defensive Player of the Year Award.
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The surgery was first reported by ESPN.