Brent crude rose 21 cents to $120.32 a barrel over persistent supply worries as top European buyers of Iranian oil make supply cuts.
US crude rose 15 cents to $102.46, reports Reuters.
European buyers of Iranian oil are reducing flows to the continent in March by more than a third as financing their purchases gets harder.
Rising optimism that Greece has done enough to secure a second bailout after it set out extra budget savings also boosted sentiment on crude.
Meanwhile, US data demonstrating a reduction in jobless claims, which suggested a possible recovery in the labour market, also helped boost crude prices.
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