Korver had surgery for a broken nose three months ago and earlier this month surgeons repaired ligament damage in his right ankle.
The 34-year-old is still wearing a boot. He said last week that he expects to be ready by training camp, but the team said Monday that it's too early to set a timetable.
Korver's ankle was injured in Game 2 of the Eastern Conference finals when Cleveland guard Matthew Dellavedova dove for a loose ball against his leg.
Korver will have the elbow procedure in New York. He already was scheduled for a doctor's visit for his ankle.