Brent crude was up $0.33, or 0.5%, at $65.05 a barrel by 0044 GMT.
US West Texas Intermediate crude gained $0.28, or 0.5%, to $58.33 a barrel.
For the month, however, both contracts were set to ease due to ongoing worries about oil demand, with Brent heading for a decline of about 2.3% and WTI down slightly.
Still US inventories have been falling in recent weeks, suggesting demand concerns are overstated.
Stocks fell again last week, along with gasoline and distillate inventories, data from industry group the American Petroleum Institute (API) showed on Tuesday.
"There is a definitive seasonal trend emerging as inventory draws continue to beat analysts' expectations by a mile, suggesting analysts have grossly underestimated consumption and the breadth of seasonal demand this year," VM Markets Pte said in a note.
Crude inventories fell by 6 million barrels in the week ended July 26 to 443 million barrels, compared with analysts' expectations in a Reuters' poll for a decrease of 2.6 million barrels, the API data showed.
Gasoline stocks fell by 3.1 million barrels, compared with analysts' expectations for a 1.4-million-barrel decline.
Distillate fuel stockpiles, which include diesel and heating oil, fell by 890,000 barrels, compared with expectations for a 1-million-barrel gain, the API data showed.
If confirmed by US government data later on Wednesday, the decline would put crude stocks down for a seventh week in a row. That would be the longest stretch since they fell for a record 10 consecutive weeks ending in January 2018, according to Refinitiv data going back to 1982.
Total crude stockpiles, however, would still be about 3% higher than the average for the five years between 2014-2018 average for this time of year.
Central bankers in the United States began their two-day meeting on Tuesday and were expected to lower borrowing costs for the first time since the depths of the financial crisis more than a decade ago.
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