Chief executive Greg Foran told NZME he thought the process of opening up a transtasman bubble with Australia was taking an appropriate amount of time.
There were a number of challenges which needed working out, including the issue surrounding transit passengers.
It was looking likely the transtasman bubble would be active around August-September, Foran said. He hoped a bubble with the Pacific would come faster.
"I'd really like to get into the Cook Islands and Niue sooner rather than later," Foran said.
"There are some good discussions occurring there and we are part of that. If we can pull something together there reasonably soon then I think that would be a good thing."
Foran did not think the Government was holding up the process despite New Zealand and the Cook Islands both having no active cases of Covid-19.
It comes as New Zealand's former Prime Minister Helen Clark calls for the country to return tourists to Cook Islands and other realm countries in time for the New Zealand school holidays – which begin on July 4.
"I’m pushing it hard," she told Cook Islands News tonight. "It’s a no-brainer. Good for stressed Kiwis and good for Cooks."
She said a trans-Tasman bubble was at least two months away. "Meanwhile why not a smart pilot with Cooks/Niue/Samoa/Fiji for two months to boost confidence in Island economies?"
The former head of the United Nations Development Programme said: "A hand up is always better than a hand-out in development terms."