New York's main contract West Texas Intermediate for February delivery rose 15 cents to USD 93.58 in afternoon trade while Brent North crude added 43 cents to USD 107.16.
Both contracts closed lower yesterday as a Libyan oil field stepped up production after the government convinced residents to lift a five-month blockade.
Desmond Chua, market analyst at CMC Markets in Singapore, said the cold weather in the United States was supporting demand for heating fuel.
"More oil is being used for heating and we do see an increase in the basic demands for necessities," he told AFP.
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A shift in a weather pattern known as the "polar vortex" triggered a drastic drop in temperatures to lows not seen in two decades, and coincided with wind chill warnings in much of the east of the country.
US demand is a key driver for oil prices as it is the world's largest economy and the biggest oil consuming nation.
Prices however are likely to be under downward pressure over the longer term owing to ample supplies and an expected stabilisation in demand, analysts have said.