New York's main contract, West Texas Intermediate crude for delivery in September, was up 22 cents to $85.60 a barrel in morning trade.
Brent North Sea crude for September advanced 27 cents to $108.30.
"Asian stocks are gaining and so oil futures are rising in parallel to that," said Victor Shum, an analyst with Purvin and Gertz energy consultancy in Singapore.
"But I expect that the market will continue to be rocky and volatile because there's still concern about a potential return of the global economy to a recession," he told AFP.
"Traders will be wary and the wariness will limit any upside in the short term for crude."
World Bank chief Robert Zoellick said in Australia on Sunday that investors had lost confidence in the economic leadership of several key countries and warned that global markets were in a "new danger zone" as a result.
Zoellick said a convergence of events in the United States and Europe had rattled investors in countries already struggling to cap sovereign debt issues and unemployment.
"And what we've seen is that confidence is a fragile element of how the market economy works," he said.
Singapore Prime Minister Lee Hsien Loong also said in a key policy speech Sunday that Asia, including China and India, would be vulnerable if the United States and Europe sank into another recession.
What the stars mean:
★ Poor ★ ★ Promising ★★★ Good ★★★★ Very good ★★★★★ Exceptional