New York's main contract, light sweet crude for November delivery, rose 11 cents to $76.60 a barrel and Brent North Sea crude rose three cents to $78.90.
A fall in the dollar's value was supporting crude markets, said Ong Yi Ling, an investment analyst for Phillip Capital in Singapore.
"For today, we're still looking at the effects of a weaker dollar," she said. "Due to the dollar weakness, commodities such as crude will benefit."
The euro dipped to $1.3470 in afternoon Asian trade compared with 1.3488 on Friday in New York. However, it is still up from $1.3312 on Thursday in Asia.
Also Read
A weakened greenback makes dollar-priced crude more attractive to investors using other currencies. Losses on the dollar were sparked by the US Federal Reserve's announcement last week that it was ready to revive stimulus measures if the economy faltered.
However, crude gains were tempered by persistent concerns over the US economy, Ong said. "Investors are still looking at the US economy" where the outlook remains bleak, she said.
Data released on Friday by the US census bureau showed new home sales remaining at their second lowest rate on record in August as rock-bottom interest rates and low prices failed to spur investment.