The race was due to make its debut in June this year, and was again proposed for a similar time next season, but due to financial problems has again been put on hold.
Although some of the infrastructure is in place at the Port Imperial track in New Jersey, executive chairman and promoter Leo Hindery Jr claims he is now "working on restructured financial arrangements for a 2015 race".
Ecclestone, who agreed a 15-year deal with Hindery Jr earlier this year, said: "There is great demand for a race in New Jersey and I have no doubt we'll be racing at Port Imperial in 2015.
"New races can take many years to get started, but there is significant momentum and we are close to realising a New York City F1 race."
In speaking to the Wall Street Journal this week, though, Ecclestone, did remark the race was again shelved "for lots and lots and lots of reasons".
Whether Hindery Jr can overcome those problems remains to be seen as similar confidence was expressed a year ago, after it was initially called off, that the race would take place this year.
Hindery Jr said: "Our entire management team and supporters in New Jersey, New York and throughout the Formula One community obviously want to see the inaugural Grand Prix of America take place as soon as possible.
"Bringing a world-class race to the world's largest media market is a huge undertaking that has required balancing construction of our road course, without tapping any public money, with the sport's own timing demands.
"I want to thank Formula One Management, New Jersey governor Chris Christie, mayors Richard Turner and Felix Roque, Roseland Property Company and the other local property owners involved for their patience while we've worked to get this right so we can finally go racing in 2015."
As special assistant to Hindery Jr, Chris Pook also highlighted the demands of trying to get the race on as he said: "This is a very complicated circuit and incredibly important to the overall Formula One program in North America.
"To get it right in New York will greatly increase awareness of Formula One and motor racing across the continent. I remain very confident about this event."