US benchmark West Texas Intermediate for May delivery rose USD 1.04 to USD 103.60 a barrel on the New York Mercantile Exchange.
In London Brent oil for May delivery added 31 cents to USD 107.98 a barrel.
The Energy Information Administration said US crude supplies jumped 4.0 million barrels for the week ended April 4, well above the 1.0 million forecast by analysts surveyed by the Wall Street Journal.
However, analysts fixated on a drop of 5.2 million barrels of gasoline supplies, much more than the 700,000 barrel decline that had been projected.
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"We're going to have this soft monetary policy for some time and that's going to give consumers and commercial producers a chance to keep growing and that's going to increase oil demand," Larry said.
Analysts were also taking a cautious view of a weekend deal between rebels in eastern Libya and the central government to resolve a nine-month oil blockade.
Rebels today ceded control of the Al-Hariga terminal, enabling exports to resume as early as Sunday.
But Tim Evans, energy futures specialist at Citi Futures, said the oil market views the Libya progress as "inconclusive," in part because a full transition of control of all of the ports has still not been completed.