Goodson, who has dealt with shin and ankle injuries this season, has played in only seven games. King scored a career-high two touchdowns last week vs. the Philadelphia Eagles, but suffered a concussion while diving to reach the pylon on the second, a 57-yarder.
Landon Collins (ankle), Jason Pierre-Paul (finger) and Nat Berhe (hamstring) are questionable.
Collins, a Pro Bowl safety, tried to play through an ankle injury last week and had to leave the game after 18 snaps. He has resisted the idea of shutting himself down for the rest of the season despite the team’s 2-12 record.
Pierre-Paul, already with a mangled right hand thanks to his 2015 fireworks mishap, has been playing with a club on that hand recently. He told reporters on Friday that he broke one of the remaining fingers on that hand.