The announcement in May that F1 was to float on the Singapore stock exchange prompted speculation over the future of the Englishman, who has been a key figure in the sport for more than three decades and took up the top job 17 years ago.
But Ecclestone, who turns 82 Sunday, has no plans to stand down just yet.
"Eventually I'm going to go, one way or another," he told BBC Sport.
"But as long as I feel I can deliver, and the shareholders are happy for that to happen, I will stay. When I can't I'll give them plenty of notice."
He continued: "When we decided we're going to get an IPO (initial public offering), the obvious thing was 'well, what's going to happen about Bernie?'
"So we put in the prospectus that we're going to find a head-hunter to try and find someone. That was a couple of years ago.
"But as long as I feel I can deliver - and they're happy for that to happen - I will stay.
"I will tell (F1 owners) CVC exactly if I'm going to turn it in when I'm 85 or something like that, which will give them plenty of notice."