King has appeared in 15 career games, including nine with Cleveland this season. He also has spent time with the Cowboys, Chargers and Colts.
The Jaguars signed King to the practice squad December 23.
Crockett earned a promotion from the practice squad December 26, taking the roster spot of Jaelen Strong. He spent half the season on Jacksonville’s practice squad. Crockett has played a regular-season game.