On Monday preliminary results from a new vaccine produced by Pfizer and BioNTech found it can prevent 90 percent of people from catching COVID-19. The companies are seeking emergency approval to begin administering the vaccination at the end of the month.
Positive vaccination news has helped mitigate the market impact of rising coronavirus cases in Europe and North America.
By 6am UK time the Japanese Nikkei 225 had risen by 1.75 points.
Rodrigo Catril, a strategist at the National Australia Bank, said: “A rotation theme remains evident in equity markets.
“Big tech, which has benefited from our virus-driven change in behaviour, is now falling out of favour while small-cap stocks and those that have been most affected by social distancing restrictions have outperformed.”
In the US the blue-chip Dow Jones, with a strong representation of industrial shares, is up this week by nearly 4 percent.
However the more tech-dominated Nasdaq has lost almost the same amount.
On Monday nearly $2trillion (£1.5trillion) changed hands in one of the busiest days of trading since the coronavirus pandemic struck.