He said the COVAX programme could begin vaccinating people in February, and there was an effort to speed it up so some vaccinations in poor countries could take place this month.
World Health Organization director-general Tedros Adhanom Ghebreyesus asked countries that have booked excess vaccine doses to "donate and release them to Covax immediately.
eSwatini, formerly known as Swaziland, is participating in the COVAX global vaccine distribution scheme co-led by the World Health Organization.
We are still trying to explore other sources for the vaccine in the event the country fails to secure the additional vaccine doses through the COVAX Facility due to limited supplies.
We conducted very active, multi-month negotiations and got a concrete result.
He also said the government hoped to receive the first batch of eight million doses of vaccines under the global COVAX facility, set up to provide vaccines to poorer countries, in March.
Sagasti said no direct flights from the United Kingdom had entered the country since December 15, when flights from Europe restarted. But health authorities were monitoring passengers from Britain who had entered through connecting flights, he said.
The government expects to receive the first batch of the Pfizer-BioNTech vaccine in February, he added. Malaysia was the first country in Southeast Asia to strike a deal with the US drugmaker.
The huge vaccine reservoir means that COVAX, a 190-country international programme that seeks to ensure all countries have equal access to coronavirus vaccines, can plan to start delivering the shots in the first quarter of 2021.
"After a meticulous review of the available information, Swissmedic concluded that the Covid-19 vaccine from Pfizer/BioNTech is safe and that its benefit outweighs the risks," the body said in a statement.
The 628-nautical mile (1,163-kilometre) bluewater classic was due to start on Boxing Day, but with parts of Sydney being locked down after a new cluster of Covid-19 cases, it was cancelled.
Announcing the agency had secured nearly two billion doses of vaccine candidates, the WHO said in a statement that this would "enable all participating economies to have access to doses in the first half of 2021, with first deliveries anticipated to begin in the first quarter of 2021."
Separately, Health Minister Maksym Stepanov said Ukraine wanted to resume production of its own vaccine candidate and a clinical trial was being prepared, without giving details.
The total number of confirmed cases in Switzerland and neighbouring principality Liechtenstein increased to 403,989, the death toll rose by 120 to 6,003, and 184 new hospitalisations kept pressure on the health care system.
But the wooden ship has been docked after new measures to stem a fourth wave of the coronavirus were introduced earlier this month, threatening the city's last remaining antique junk.
The sero-prevalence study, presented late on Tuesday, is now in its fourth round. Its work involved carrying out rapid antibody tests on 51,409 people across the country of some 47 million people between November 16 and 29.