More than 20,000 doses of the AstraZeneca vaccine arrived in the country last week and will be administered to high-risk groups.
The rollout, which got underway in Lautoka on Monday, is targeting people with disabilities and co-morbidities such as diabetes, hypertension, heart conditions, asthma, HIV, cancer, and those on dialysis.
Essential workers are also expected to get their first jab.
But the ministry said the programme's continuation would depend on the availability of the vaccine doses.