In Tokyo, the Nikkei 225 index was up 0.9 percent shortly after lunch, while the broader Topix pointed to a gain of 0.7.
In Hong Kong, the Hang Seng simultaneously pointed to a gain of 0.5 percent, and South Korea's Kospi index was up 1.6.
Shenzhen's composite index went against the trend and traded down, minus 1.3 percent, while Shanghai's composite index stood at a gain of 0.2 percent.
Economic statistics from the USA released on Friday suggested that inflation may not be as high as feared, which has given hope that the US central bank will further lower the interest rate.
The overall mood on the markets is still cautious ahead of the US's incoming president Donald Trump taking the reins in Washington, while China continues to show a weak economic recovery.
