US production fell for the 10th time in 11 weeks, to 9.0 million barrels per day in the week through April 1, the lowest level since November 2014, according to data from the US Energy Information Administration.
Commercial crude stockpiles in the world's top oil consumer also dropped, indicating stronger demand.
At around 0420 GMT, US benchmark West Texas Intermediate for May delivery climbed 76 cents, or 2.04 per cent, to USD 38.02 and Brent crude for June was up 62 cents, or 1.57 per cent, at USD 40.05.
But traders are setting their sights on the April 17 meeting in Doha among crude producers led by Russia and Saudi Arabia to discuss measures to stabilise prices, including an output freeze at January 2016 levels.
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There have been conflicting signals on whether such an agreement would be reached.
Saudi Arabia has said it will only agree to limits if others followed suit, while Iran said it is still ramping up production after Western economic sanctions were lifted only in January.
"But a lot of OPEC countries are feeling great economic pain, which might give them the impetus to take some positive action in cutting production," he said.