Benchmark crude prices were on track for weekly declines, having fallen sharply earlier in the week on demand worries.
Brent crude futures rose 20 cents to $62.13 a barrel by 11:21 a.m. EDT (1521 GMT). Brent was on track to fall 6.8pc for the week, its largest weekly loss since December.
West Texas Intermediate crude futures fell 4 cents to $55.26 a barrel. WTI was set to fall 8.2pc this week, its steepest loss since March.
"Our opinion of the complex still favors some wide swinging trade in both directions as pricing continues to be buffeted by an array of cross currents that include a heightening of tensions between the US and Iran on the bullish side and mounting global oil demand concerns on the bearish side," Jim Ritterbusch of Ritterbusch and Associates said in a note.
In the latest sign of increasing tensions in the Middle East, a senior Trump administration official said on Friday the United States will destroy any Iranian drones that fly too close to its ships.
The United States said on Thursday a US Navy ship had "destroyed" an Iranian drone in the Strait of Hormuz after the aircraft threatened the vessel, but Iran said it had no information about losing a drone.
The episode has injected further geopolitical risk into the oil market. Prices were also buoyed Friday by indications the US Federal Reserve will cut rates aggressively to support the economy.
Two influential Federal Reserve officials sharpened the public case for acting to support the US economy on Thursday, reviving bets the central bank may deliver a larger-than-expected cut this month.
Still, the longer-term outlook for oil has grown increasingly bearish.
The International Energy Agency (IEA) does not expect oil prices to rise significantly because demand is slowing and there is a glut in global crude markets, the IEA's Fatih Birol said on Friday in public comments.
The IEA is reducing its 2019 oil demand growth forecast to 1.1 million barrels per day (bpd) from 1.2 million bpd due to a slowing global economy amid a US-China trade spat, Birol told Reuters in an interview on Thursday.
"Macroeconomic concerns, uncertainty on trade discussions and increasing oil supply from the US continued to weigh on sentiment," said Warren Patterson, head of commodities at ING.