The MMR programme was halted last July following the death of two infants after they received the vaccination.
Two nurses have been charged with their manslaughter.
The World Health Organisation's representative to Samoa Rasul Baghirov said they will step-up the programme and aim to have all eligible children vaccinated by the end of April.
The potential for the measles outbreak in New Zealand to spread to Samoa has created an extra sense of urgency according to Dr Baghirov.
Restoring confidence in the programme remains a hurdle, he said.
