Thomas Markle is alert after having successful heart surgery.
He went into theatre today to have stents implanted in his blood vessels after having a heart attack last week.
Im ok. It will take a long time to heal, he told US website TMZ. Staying in the hospital a few more days. Not allowed to get excited.
On Monday it was claimed he would not give his daughter away due to concerns he had embarrassed her or the royal family over photographs apparently posed with paparazzi.
TMZ reported that he changed his mind on going to the wedding after Meghan text him saying she loved him and was worried about his health.
In a statement, Kensington Palace said: This is a deeply personal moment for Ms Markle in the days before her wedding.
She and Prince Harry ask again for understanding and respect to be extended to Mr Markle in this difficult situation.