Crude prices have risen by more than 20% from its August low, meaning oil has swung back into a so-called bull market.
Japan's Nikkei rose 0.44% at the open to 16,558.38 while the broader Topix gained 0.4% to 1,296.26.
Australia's S&P/ASX 200 is 0.2% higher while New Zealand is trading flat.
South Korea's Kospi edged up 0.1% in Seoul.
Samsung Electronic shares extended gains on Friday by another 1% after having climbed to a record in the previous trading session.
The world's largest smartphone maker saw its market value cross the $200bn mark on Thursday, making it five times more valuable than Japan's Sony.
In Greater China, Hong Kong's Hang Seng is rising 0.2% while the Shanghai Composite is marginally lower.
Asian share markets are higher after oil prices rose above $50 a barrel on speculation major producers are going to reduce output.