Brent crude futures were up $1.91, or 3.18%, at $61.88 a barrel by 1039 GMT, having risen as much as 4.45% to $62.64. U.S. West Texas Intermediate crude futures were up $1.42, or 2.78%, at $52.56 a barrel. WTI earlier rose as much as 3.85% to $53.11.

In all, OPEC's 14 members pumped 30.09 million b/d in May, a 170,000 b/d fall from April and the lowest since February 2015, before Gabon, Equatorial Guinea and the Republic of Congo joined and Qatar was still a member,

Front-month Brent crude futures were at $62.56 at 0707 GMT, up 27 cents, or 0.4%, from Monday’s close. U.S. West Texas Intermediate (WTI) crude futures were at $53.75 per barrel, 49 cents, or 0.9%, above their last settlement.

Even so, OPEC said it would tread cautiously. The organization forecast that 2019 oil consumption will rise 1.14 million b/d year-on-year, a downward revision of 70,000 b/d from last month's report, as "significant downside risks from escalating trade disputes spilling over to global demand growth remain."

Norway’s economic momentum remains strong, supported by higher oil prices, competitiveness gains stemming from the weaker krone, and a robust labor market. After growing by 2.2 percent in 2018, mainland economic activity is expected to accelerate further and rise by about 2.5 percent this year, before growth slows to 2.1 percent in 2020.

Front-month Brent crude futures were at $62.56 at 0707 GMT, up 27 cents, or 0.4%, from Monday’s close. U.S. West Texas Intermediate (WTI) crude futures were at $53.75 per barrel, 49 cents, or 0.9%, above their last settlement.

BHGE - U.S. Rig Count is down 9 rigs from last week to 975, with oil rigs down 11 to 789, gas rigs up 2 to 186, and miscellaneous rigs unchanged at 0. Canada Rig Count is up 18 rigs from last week to 103, with oil rigs up 15 to 59 and gas rigs up 3 to 44.

Brent crude futures were up $1.35 at $63.02 a barrel by 0757 GMT. WTI crude futures were up $1.10 at $53.69 per barrel.

Brent crude futures were at $60.50 at 0108 GMT. That was 13 cents, or 0.2%, below last session’s close. WTI crude futures were at $51.62 per barrel, 6 cents, or 0.1%, below their last settlement.

Over the last decade Russia and China have significantly increased their energy links, with Russia ramping up supplies of crude and gas, and attracting Chinese investment into major new energy projects.