Brent crude futures rose by 28 cents, or 0.33%, to trade at $85.62 a barrel at 0410 GMT.
U.S. West Texas Intermediate (WTI) crude futures climbed 49 cents, or 0.49%, from Wednesday's close to $78.43 a barrel. There was no WTI settlement on Thursday due to the U.S. Thanksgiving holiday.
Both contracts were still headed for their third consecutive weekly decline, on track to fall about 2% with worries about tight supply easing.
"Oil is trading slightly higher in highly illiquid holiday-type trading, likely finding some support from lower global interest rates," said Stephen Innes, managing partner at SPI Asset Management, in a client note.
On the Russian oil price cap, G7 and European Union diplomats have been discussing levels between $65 and $70 a barrel.
"The market considers (the price caps) too high which reduces the risk of Moscow retaliating," ANZ Research analysts said in a note to clients.
Russian President Vladimir Putin has said Moscow will not supply oil and gas to any countries that join in imposing the price cap, which the Kremlin reiterated on Thursday.
Trading is expected to remain cautious ahead of an agreement on the price cap, due to come into effect on Dec. 5 when an EU ban on Russian crude kicks off, and ahead of the next meeting of the Organization of the Petroleum Exporting Countries and allies, known as OPEC+, on Dec. 4.
In October, OPEC+ agreed to reduce its output target by 2 million barrels per day through 2023, and Saudi Arabian Energy Minister Prince Abdulaziz bin Salman was quoted saying this week that OPEC+ was ready to cut output further if needed.
Meanwhile, there are growing signs that a surge in COVID-19 cases in China, the world's top oil importer, is starting to hit fuel demand, with traffic drifting down and implied oil demand around 13 million barrels per day, or 1 million bpd lower than average, an ANZ note showed.
China on Friday reported a new daily record for COVID-19 infections, as cities across the country continued enforce mobility measures and other curbs to control outbreaks.
"This remains a headwind for oil demand that, combined with weakness in the U.S. dollar, is creating a negative backdrop for oil prices," ANZ said in a separate commodity note.
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