Fiji's Health Ministry said it was closely monitoring the outbreak, which has already moved to Samoa and Tonga.
The ministry is also rolling out training for health workers and urging the public to ensure children are vaccinated before going overseas, especially to New Zealand, Samoa, or Tonga.
"Outbreaks around the world, including in neighboring countries, puts us at risk of having travel related cases of measles," the ministry said in a statement Friday.