By Scott DiSavino

NEW YORK (Reuters) - Oil prices rose near 2% on Tuesday, advancing with other financial markets on U.S. Election Day although traders were bracing for volatility depending on the voting results and as surging coronavirus cases around the world fed worries about fuel demand.

Brent <LCOc1> futures rose 74 cents, or 1.9%, to settle at $39.71 a barrel, while U.S. West Texas Intermediate (WTI) crude <CLc1> rose 85 cents, or 2.3%, to settle at $37.66.

The oil price moves came ahead of data expected to show U.S. crude stockpiles rose 900,000 barrels last week after gaining 4.3 million barrels in the prior week.

The American Petroleum Institute (API), an industry group, will release its inventory report later Tuesday, ahead of government data from the U.S. Energy Information Administration (EIA) on Wednesday.

After a rancorous presidential campaign that exposed the depth of the political divisions in the United States, Americans streamed to the polls on Tuesday to choose either incumbent Donald Trump or challenger Joe Biden to lead a pandemic-battered nation for the next four years.

"The election is dominating markets today. Crude oil is up ... The general feeling seems to be that the final outcome could come as early as tomorrow," said Robert Yawger, director of energy futures at Mizuho in New York, noting a Democratic sweep could lead to a super-sized stimulus package that would be positive for oil.

Major U.S. stock market indices traded higher, with the S&P 500 <.SPX> up 1.8%.

The U.S. dollar, meanwhile, dipped 0.6% against a basket of currencies <.DXY> as risk appetite grew on bets that Biden will win.

A weaker dollar makes oil cheaper for holders of other currencies, which traders said was helping to boost crude prices.

The threat of additional lockdowns that could depress energy demand capped oil price gains after Italy, Norway and Hungary tightened COVID-19 restrictions.

Oil prices, which dropped over 10% last week, got a reprieve this week after OPEC member Algeria came out in support of deferring a planned increase in OPEC+ oil output from January and Russia's energy minister raised the possibility with the country's oil companies.

The Organization of the Petroleum Exporting Countries (OPEC) and allies led by Russia, together known as OPEC+, are due to taper cuts of 7.7 million barrels per day (bpd) by around 2 million bpd from January.

Sources said OPEC and Russia are considering deeper oil output cuts early next year to try to strengthen the oil market.

(Additional reporting by Ahmad Ghaddar in London, Sonali Paul in Melbourne and Koustav Samanta in Singapore; editing by David Gregorio, Marguerita Choy and Cynthia Osterman)