"The anti-vaxxers sadly have been slowing us down", he advised TVNZ.
Samoan authorities on Friday warned that propaganda opposing a mass vaccination drive would not be tolerated after an anti-immunization campaigner was arrested.
The measles death toll in Samoa is still going up, with another two people dying overnight.
All non-essential business and government services have been closed and residents have been told to obey the curfew from dawn to dusk and to show a red flag outside their home if they are not vaccinated to alert the teams Immunization mobiles.
The government backed its tough rhetoric by arresting vocal anti-vaccination campaigner Edwin Tamasese late on Thursday and charging him with incitement against a government order.
Tamasese, who has no medical training, has railed against Samoa's vaccination drive and promoted quack remedies such as papaya leaf extract and vitamins to treat measles.
Tupai urged anti-vaxxers: "Don't get in the way, don't contribute to the deaths".
Samoa's Communications Minister Afamasaga Rico Tupai said anti-vaccination activists - also known as "anti-vaxxers" - are spreading conspiracy theories which were hindering the unprecedented public health mobilisation.
United States anti-vaxxers are reportedly swamping Samoan government websites with material described as "nonsense".
The lockdown applies to nearly everyone, except essential services. Non-vaccinated locals have been asked to pin a red cloth to the front of vulnerable homes so they can be easily identified.
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She said normally, there's an early spike in Influenza A before cases go down, followed by an uptick in B. While interesting, she said there isn't really a difference in how they spread or make you feel.
In the last 24 hours, 165 cases have been reported.
One more person died, bringing the confirmed death toll to 63, with 55 of the victims aged four or under.
According to the government, more than 4,000 people have contracted the disease since the outbreak began and 172 people remain in hospitals, including 19 children in critical condition.
Babies are the most vulnerable to measles, which usually causes a rash and fever, but can also cause brain damage and death.
The government in Tonga attributed a recent outbreak of measles in the small Pacific island community to a squad of rugby players returning from New Zealand, although higher vaccination rates in Tonga - and in neighbouring Fiji - have helped stem the outbreak.
Worldwide teams have been deployed to assist the Samoan government with their mass vaccination programme with crews from America, Britain, Australia and New Zealand on the ground in Samoa.
UNICEF's regional chief on Thursday told AFP that social media giants such as Facebook and Twitter were "incredibly irresponsible" for allowing the misinformation to spread on their platforms.
But Mr Malielegaoi appealed for more aid from the global community.
Shortages in institutional capacities to respond to the outbreak were evident in nearly all areas of the health sector, the prime minister said, emphasising the need to build depth in not just the clinical side but also technical, allied health and equally important psychosocial services.