King, 27, is 6-foot-6 and was originally selected by the Suns in the second round (No. 59 overall) of the 2018 draft.
He appeared in one game with Phoenix as a rookie for his only NBA experience. He has spent time playing professionally in Germany, Poland and Italy since 2019-20.
The Clippers currently have 14 players on guaranteed contracts, as well as point guard Yogi Ferrell, who is on a nonguaranteed deal.
“However, King’s Exhibit 10 deal could put him in line for a $50K bonus if he ends up joining the club’s G League affiliate, the Agua Caliente Clippers of Ontario,” wrote Luke Adams of Hoops Rumors. “He may also be a candidate to have his Exhibit 10 contract converted to a two-way deal.”