Brent crude futures were up 22 cents, or 0.3%, at $74.87 a barrel by 0033 GMT. U.S. West Texas Intermediate crude were at $70.06, up 27 cents, or 0.3%.
U.S. markets will be closed on Tuesday for the nation's Independence Day holiday. The oil benchmarks had settled down about 1% in the previous session.
Saudi Arabia on Monday said it would extend its voluntary cut of one million barrels per day (bpd) from output to August, the kingdom's state news agency reported. Russia will also reduce its oil exports by 500,000 bpd in August, Deputy Prime Minister Alexander Novak said. The cuts amount to 1.5% of global supply and bring the total pledged by OPEC+ oil producers to 5.16 million bpd as Riyadh and Moscow look to prop up prices.
OPEC+ includes members of the Organisation of the Petroleum Exporting Countries and allies. U.S. crude inventories were expected to fall by about 1.8 million barrels in the week to June 30, a third straight week of declines.
Industry data on inventories will be published on Wednesday and official data on Thursday, both delayed by a day due to the U.S. holiday. Markets remained worried about oil demand, however, after business surveys showed a slump in global factory activity because of sluggish demand in China and in Europe.
U.S. manufacturing also fell further in June, reaching levels last seen in the initial wave of the COVID-19 pandemic. A Reuters poll last week forecast that oil prices would struggle for traction this year as global economic headwinds stymie any gains fuelled by a rebound in China or OPEC+ cuts.
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