Mr McDermott, 54, fell down stairs in the night while carrying a water glass during a visit to relatives and nearly bled to death from his injuries, a SAP representative said. It became clear last week he would lose his left eye.
News of the injuries was reported by German magazine WirtschaftsWoche.
Mr McDermott, SAP’s sole chief executive since last year, said in a separate interview with Sueddeutsche Zeitung that he feels strong.
“I’m still alive, and that’s not a given after such a bad accident,” he said. “This can happen to anyone. It’s important to stand up after you’ve fallen down.”