King will start Sunday against the Tigers, Erik Boland of Newsday reports.
The Yankees are down a starter with Corey Kluber shut down for four weeks with a shoulder strain. King relieved Kluber after he got hurt Tuesday against Toronto, allowing one run in three innings. It's unclear if he'll replace Kluber long term, as that honor could also go to Deivi Garcia, who started Saturday against the Tigers but was optioned following the game.