Speaking on her SiriusXM radio show in the US, Ms King said: "Well, just so you know, they had done that interview before Prince Phillip went into the hospital.
"And if something, God forbid, had happened to him, the interview would not have run at this particular time.
"But the interview was done and was scheduled before he went into the hospital.
"But a lot of people have raised that point."
Harry and Meghan had plans in place to postpone the interview if Philip died (Image: GETTY)
Prince Philip spent 28 days in hospital - his longest ever stay (Image: GETTY)