Bishop was released by the Green Bay Packers on Monday. He missed the entire 2012 season with a torn hamstring and was set to make $3.4 million this season. The Packers decided to move on when he wouldn't accept a pay cut.
Bishop's hamstring injury isn't 100 percent healed yet, but he's still 28 years old and a quality defender when healthy. In 2011, he recorded 115 tackles, five sacks and two forced fumbles.
If the Chiefs sign Bishop, he could earn the starting job over Akeem Jordan next to Derrick Johnson. He was limited in workouts while with the Packers, but he should be ready to go for training camp with whatever team signs him.