MSCI's broadest index of Asia-Pacific shares outside Japan was up 0.6 percent, erasing its early modest losses.
U.S. crude futures steadied in Asia after tumbling three percent overnight on worries about higher crude inventories. They were last up about 0.6 percent at $43.19 a barrel. Brent crude added 0.7 percent to $46.11 though was still not far from their lowest levels since August.
Prices of other commodities also weakened after the previous session's downbeat Chinese industrial output data, which continued to pressure shares in resource-rich Australia. The S& P/ASX 200 index was down 0.1 percent, though it pared its earlier losses after the jobs report surprised on the upside.
Employment jumped 58,600 last month, driving the jobless rate down to a five-month low of 5.9 percent and beating the market consensus for a 15,000 rise and a steady unemployment rate of 6.2 percent.
The Australian dollar jumped three-quarters of a U.S. cent to $0.7155, and was last up 1.1 percent at $0.7139.
Japan's Nikkei stock index was slightly higher, erasing earlier losses.
Data released before the market opened showed Japan's core machinery orders rose 7.5 percent in September, marking the first increase in four months, though orders were down sharply in the third quarter.
"Companies are taking a very cautious stance toward capital expenditure," said Norio Miyagawa, a senior economist, Mizuho Securities.
"The health of overseas economies, particularly China, is one factor. Also, it's difficult for companies to have the conviction that the domestic economy will grow rapidly."
South Korean shares were down 0.1 percent. Earlier on Thursday, the Bank of Korea kept rates steady for a fifth straight month as expected.
The U.S. bond market was closed for Veterans Day on Wednesday, and while other markets were trading, activity was lighter than usual.
With no directional guidance from U.S. Treasuries, some investors took profits after the dollar's recent rise in the wake of last Friday's stellar U.S. employment report that led many to increase their bets that the Federal Reserve was on track to hike interest rates at its meeting next month.

Latest News  from Business News Desk