King will run in the heats of the men’s 60m hurdles, which are scheduled for 6.30pm on Saturday – the third day of the championships.
It will be his second global senior competition for Great Britain and his first indoors.
He goes into the event ranked 16th out of the 42 entries, which come from 32 different countries.
King’s best this season is 7.63 seconds, with American’s Jarret Eaton the top qualifier with 7.43 seconds.
The semi-finals for the men’s hurdles will take place at 3.05pm on Sunday afternoon, with the final at 5pm.