Brent crude dropped 78 cents, or 1.2%, to $62.91 a barrel by 0138 GMT, after losing 1.1% the previous day. U.S. West Texas Intermediate (WTI) crude slid 74 cents, or 1.2%, to $59.90 a barrel, having lost 1.4% on Monday.
Investors are worried the Organization of the Petroleum Exporting Countries and its allies, a group known as OPEC+, will boost oil output, said Hiroyuki Kikukawa, general manager of research at Nissan Securities.
The group meets on Thursday and could discuss allowing as much as 1.5 million barrels per day (bpd) of crude back into the market.
OPEC oil output fell in February as a voluntary cut by Saudi Arabia added to reductions agreed to under the previous OPEC+ pact, a Reuters survey found, ending a run of seven consecutive monthly increases.
China's factory activity growth slipped to a nine-month low in February, which may curtail Chinese crude demand and pressure oil prices.