Davenport had two sacks in New Orleans' victory last Sunday at Minnesota, but also injured his toe during the game.
Although he played through the injury in Minnesota, he sat out practice throughout this week and ultimately was ruled out on Friday.
Davenport has four sacks this season and also has forced a fumble. He has five tackles for losses, seven quarterback hits and has deflected two passes.
Meanwhile, running back Alvin Kamara returned to Saints practice on Friday after missing practice on Thursday because he was ill.