Loughman said losing the country's status as a Covid-19 free country was not important.
He said what mattered was how a country had the capacity and resources to contain a positive case.
RNZ Pacific reports the prime minister said ensuring the coronavirus did not spread to the rest of the population was also key.
Vanuatu recorded the Covid-19 case on 10 November.
Loughman said on Tuesday follow-up tests carried out at the Vila Central Hospital and a reconfirmation test from Australia all returned negative results for the virus.