The screening confirmed 15 community cases as of July 11.
The latest case tested positive after arriving at Nukunonu, the largest atoll in Tokelau.
The latest Tokelau Health Department update shows 56 cases on Fakaofo, the second-largest atoll of the group.
This is the atoll at the centre of the first outbreak.
There is currently one Covid case on Nukunonu and none on Atafu, though there have been five cases at the border since the end of last year.
There have been 80 cases in total in Tokelau since the virus arrived at the border in December last year.
The government’s General Fono meeting is to be held over Zoom this month because of the outbreak.