Greenway came in at No. 70 on the list, as voted on by his peers.
Vikings defensive end Jared Allen says Greenway is a "true outside linebacker in a 4-3 scheme, and for the last three or four years, he's been playing at an elite level."
Greenway has led the Vikings in tackles each of the last five seasons. His 148 tackles last season ranked second in the NFL.
He was named to the Pro Bowl each of the last two seasons.