Jones says his absence from practice on Thursday was "just precaution." He says he "felt some tightness" in last week's 31-24 win over Carolina.
The Falcons also held out running back Devonta Freeman (sore right knee), linebacker Corey Nelson (calf) and defensive ends Takk McKinley and Derrick Shelby, who have groin injuries. Nelson was hurt in Wednesday's practice.
Freeman did not play in the win over Carolina.
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