U.S. West Texas Intermediate (WTI) crude CLc1 futures rose 13 cents, or 0.3%, to $42.95 per barrel at 0505 GMT, on track for a 2% rise for the week.
Brent crude LCOc1 futures were up 17 cents, or 0.4%, at $45.07 per barrel, heading for a 0.5% rise for the week.
Both benchmark contracts fell around 1% on Thursday on economic concerns after weekly U.S. jobless claims came in higher than expected.
An internal report by the Organization of the Petroleum Exporting Countries and allies, showed the group known as OPEC+ was focused on ensuring that members who had overproduced against their commitments would cut their output, as flagged following an OPEC+ meeting on Wednesday.
Reuters reported that OPEC+ found some members would need to slash output by 2.31 million barrels per day to make up for their recent oversupply.
“But with enforcement tactics reduced to merely public smearing of laggards or a very unlikely disbanding of the agreement, the proof will need to be in the pudding as it remains critical that non-compliant members toe the line to bring the markets closer to equilibrium,” said AxiCorp market strategist Stephen Innes.
Among OPEC members, Iraq and Nigeria were the least compliant and even the United Arab Emirates, which made additional voluntary cuts in June, overproduced by around 50,000 bpd over the May-July period.
The internal report also flagged demand risks, showing OPEC+ expects oil demand in 2020 to fall by 9.1 million bpd, 100,000 bpd more than in its previous forecast.
And it found if a prolonged second wave of infections hits China, India, Europe and the United States in the second half of the year, demand could fall by 11.2 million bpd in 2020.
“My expectation would be demand continues to be quite a bumpy recovery,” said Lachlan Shaw, National Australia Bank’s head of commodity research.
Analysts said they could see Brent holding near $45 a barrel but did not expect the market to push much higher in the near term.