Durant, 29, left the Cowboys' season-opening loss to the San Francisco 49ers on Sunday with the injury. He had seven tackles before leaving the game. The Cowboys allowed 28 first-half points to the 49ers.
He was limited to 10 games last season because of a hamstring injury. This is his second season in Dallas after playing the first six seasons of his career with the Jacksonville Jaguars and Detroit Lions.
The Cowboys open their road schedule against the Tennessee Titans on Sunday.
- Paul Palladino