King went 13-9 with a 2.95 ERA in 30 starts and one relief appearance last year with the Padres. He also recorded 201 strikeouts and posted a 4.2 WAR over 173 2/3 innings of work.
The Los Angeles Dodgers rotation was decimated by injuries last season. They made a trade to bring in help, but after making additions and getting healthy, they could let their trade prize walk.