"The crew is all good," she added.
The waka, which has travelled more than 400km northwest into the Pacific, is heading for Rarotonga as part of a four-waka fleet sailing from Rarotonga for the Te Manava Festival which will celebrate the 50th anniversary of Cook Island self-governance.
The other three waka sailed from Auckland and Mrs Smith said they were on track to meet up with Te Matau a Maui in the next few days.
All are steering a course for Rarotonga using traditional navigation techniques of stars, the sun, the moon and the sea conditions.
A slower than anticipated voyage would create no water or food issues, Mrs Smith said.
"They have plenty aboard."
While the voyage is expected to take between two to three weeks, depending on conditions, the stocks aboard could cater for up to six weeks.
One of those aboard the waka taking part in her first voyage out of New Zealand waters is Pounamu Tipiwai-Chambers who is from Kaitaia but currently attends Karamu High School.
After being encouraged by friends to taste the waka hourua experience, she became one of the youth crew team last year.
The waka's skipper described her as "passionate about waka hourua" having attended several crew training nights, as well as day and overnight sails in the bay.
Ms Tipiwai-Chambers said she was thrilled to have achieved her first goal of sailing the coast from Napier to Christchurch in February and was now enjoying achieving her second goal of sailing the open Pacific.