Brent crude was up $1.27, or 2.3%, at $57.62 a barrel by 1320 GMT, its third straight day of gains and the highest levels since late February last year.
U.S. oil gained $1.2, or 2.2%, to $54.75. Both contracts rose more than 2% in the previous session to levels last seen in early March.
OPEC crude production rose for a seventh month in January but the increase was smaller than expected, a Reuters survey found.
Also, voluntary cuts of 1 million bpd by OPEC’s de facto leader, Saudi Arabia, are set to be implemented from the beginning of February though March.
“With OPEC and its allies (OPEC+) endeavouring to keep global oil production below demand, we expect petroleum inventories to keep falling,” UBS said in a note.
“With inventories starting to drop in 2H20, the structure of the futures curve has shifted to become downward sloped. This is attracting investors.”
The investment bank forecast Brent would reach $63 a barrel by the second half of this year and $65 by the first quarter of 2022. Goldman Sacks said it expected the benchmark to reach $65 a barrel by July.
Russian output increased in January but is in line with the agreement on reducing production, while in Kazakhstan oil volumes fell for the month.
However, energy giant BP flagged a difficult start to 2021 amid declining product demand, noting that January retail volumes were down by around 20% year on year, compared with a decline of 11% in the fourth quarter.
Oil demand is nevertheless expected to recover in 2021, BP said, with global inventories expected to return to their five-year average by the middle of the year.
Helping to support prices, a severe blizzard hitting a large area of the northeastern United States is pushing up demand for heating fuel.