The trade arrangement among Pacific nations is due to be signed in June after negotiations were completed last week.
Edwini Kessie said the New Zealand Green Party MP Barry Coates was wrong to claim there is a lack of access.
He said the issue was the difficulty Pacific Island countries often have in establishing rigorous bio-security systems, but under the deal New Zealand and Australia were committed to help the smaller nations achieve this.
"So the statement that they don't have access to Australia for tropical fruits is not accurate," Dr Kessie said.
