The agency also lowered its forecast for demand for OPEC crude, production of which the group has pledged to cut by 800,000 bpd this year as part of an agreement with Russian Federation and other non-OPEC producers such as Oman and Kazakhstan.
International Brent crude futures were up 1 percent, or 65 cents, at $63.07 per barrel.
U.S. West Texas Intermediate and international-benchmark Brent crude oil futures are trading higher on Wednesday, supported by deeper-than-expected OPEC-led production cuts and the impact of U.S. -led sanctions on Venezuela oil exports.
China's crude oil imports in January rose 4.8 percent from a year earlier, customs data showed on Thursday, to an average of 10.03 million barrels per day (bpd), the third straight month that imports have exceeded the 10 million bpd mark.
The major oil exporters in the Middle East Gulf (Saudi Arabia, Iraq, United Arab Emirates, Kuwait and Iran) market mostly medium and heavy crudes.
Growing U.S. supply and a potential economic slowdown this year could cap oil markets.
Saudi Arabia will reduce oil production to nearly 9.8 million barrels per day in March, Minister of Energy, Industry and Mineral Resources and Chairman of Saudi Aramco Khalid Al-Falih told the Financial Times.
"In terms of crude oil quantity, markets may be able to adjust after initial logistical dislocations (from Venezuela sanctions)", the Paris-based IEA said. In another bullish sign this week, President Donald Trump struck a conciliatory tone on trade talks with China, suggesting higher tariffs might be averted.
Oil climbed for a second day as dwindling shipments from two of the world's biggest crude exporters eclipsed another big jump in USA supplies.
In the United States, crude inventories fell by 998,000 barrels in the latest week, trouncing forecasts for a rise of 2.7 million barrels, according to data from industry group the American Petroleum Institute on Tuesday.
On the supply side, Saudi Arabia, the defector leader of OPEC, said it was cutting daily production and exports by a further 500,000 barrels per day (bpd) on top of its agreed OPEC quota reduction. Analysts polled by Reuters forecast an increase of 2.7 million barrels.
While US crude production is expected to grow by an amount that exceeds Venezuela's current output, the IEA warned that quantity is not the only important issue.