By Nicole Friedman and Francesca Freeman 

NEW YORK--U.S. oil futures held near multi-month lows Tuesday as ample oil supplies continued to weigh on the market, while petroleum-product prices bounced higher on expectations of stronger U.S. demand.

U.S. oil prices have slumped 11% since hitting nine-month highs in mid-June, as investors perceived lower risk to oil supplies in Iraq, Russia and elsewhere and focused instead on high supplies. Brent, the global benchmark, settled Monday at a 14-month low after reports that Libyan production increased last week.

Light, sweet crude for September delivery recently fell 64 cents, or 0.7%, at $95.77 a barrel on the New York Mercantile Exchange. The September contract expires at settlement Wednesday. The more-actively traded October contract rose 6 cents, or 0.1%, to $93.81 a barrel.

Brent traded down 17 cents, or 0.2%, at $101.43 a barrel.

Expectations for robust fuel demand are boosting the U.S. market, said Schneider Electric SA, an energy-consulting firm, in a note Tuesday.

U.S. gasoline and distillate supplies, including diesel fuel and heating oil, have fallen in recent weeks, even as refineries have run at unusually high rates to produce more. The busy summer-driving season lasts through the end of the month.

The U.S. Energy Information Administration is set to release its storage data for the week ended Aug. 15 on Wednesday. Analysts are completing their estimates, but some say they expect continued draws in petroleum-product supplies.

Front-month September reformulated gasoline blendstock, or RBOB, recently rose 2.59 cents, or 1%, to $2.6819 a gallon. September diesel gained 1.17 cents, or 0.3%, to $2.8177 a gallon.

Despite steadying Tuesday, oil prices look likely to remain in a downward trend, analysts at Commerzbank said.

Oil "is still under pressure from a combination of factors: plentiful supply, a lack of supply outages and weak refinery demand," the bank said.

Trade is likely to be jittery on the London oil market this week as trade thins ahead of a long weekend in the U.K., said Andrey Kryuchenkov, a commodities strategist at VTB Capital.

"Brent remains sensitive to any macro headlines," he added.

Write to Nicole Friedman at nicole.friedman@wsj.com and Francesca Freeman at francesca.freeman@wsj.com

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