Total doses given to August 1 were 69,699 and of those, 26,722 people are now fully vaccinated.
McKenna said GPs were inviting their own patients to receive the vaccine.
"But those patients don't need to wait they can book through the national booking system," he said.
He said places like pharmacies and marae would be taking walk-ins and those were being advertised separately to the DHB, and anyone 55 or older could book online.
Bookings could be made at Pharmacies like Unichem Jeff Whittaker Pharmacy in Havelock North, the first pharmacy to roll out the vaccine in Hawke's Bay.
Jo Gibbs, Covid-19 Vaccine and Immunisation Programme national director, said the vaccination programme was scaling up.
"We are on track to give everyone in Hawke's Bay, and the rest of New Zealand, the opportunity to be vaccinated by the end of this year in line with the sequencing framework," Gibbs said.
"This is a huge programme with a large team across the country working hard to ensure as many people as possible take up that opportunity and are vaccinated this year."
Gibbs said the government's ongoing research and the number of people vaccinated to date indicated there would be a high uptake of people choosing to be vaccinated.
"While our Covid vaccination programme officially finishes at the end of the year, health providers will continue to take steps to ensure everyone has the opportunity to be vaccinated after the programme ends."
Examples of people missing are people too young to be vaccinated during the programme, or those who missed out for family or personal reasons, or people returning to New Zealand who have not been vaccinated.
If booster vaccines were introduced, these could also be administered after the end of the year, Gibbs said.