The DHB said it was contacting affected individuals, and they were being encouraged to get another dose to ensure they had a high level of protection against the virus.
The affected provider has also stopped vaccinations until a full investigation is completed.
SDHB said temperature-related vaccine storage issues, referred to as cold-chain failures, could happen at any stage in the process, but there were robust requirements in place to ensure correct storage and that issues were identified quickly, and any impact was minimised.
People with concerns or who need more advice on a replacement vaccine are able to access a fully funded GP consultation, or they can talk to a health professional such as their pharmacist, or they can call 0800 28 29 26 (7 days a week, 8am to 8pm).
People affected by the incident who wish to book their replacement vaccination can call 0800 28 29 26 (seven days a week, 8am to 8pm) for more information.
Some answers to frequently asked questions on replacement vaccines can be found here.