* World oil demand to fall at fastest rate since 1981-IEA
* OPEC compliance with supply cuts slipping -IEA
* U.S. jobless claims rise more than expected (Recasts, updates prices, market activity; changes dateline, previously LONDON)
NEW YORK, May 14 (Reuters) - U.S. oil prices rose slightly on Thursday tracking a rebound on Wall Street, though a gloomy demand forecast from the International Energy Agency (IEA) limited gains.
U.S. crude <CLc1> rose 14 cents to $58.16 a barrel at 1805 GMT while London Brent <LCOc1> fell 76 cents to $56.58.
The gains in U.S. crude came alongside an uptick in U.S. equity markets led by technology stocks. [
]Oil prices have been tracking equities markets in recent months as traders look to stocks for signs of an economic recovery that could lift ailing world fuel demand.
Gains were limited by a report from Paris-based IEA, adviser to 28 industrialized nations on energy policy. It said the rise in oil prices to a six-month high above $60 this week was due to sentiment rather than fundamentals.
The report said consumption was set to fall by 2.56 million barrels per day (bpd) in 2009, the steepest amount since 1981. [
]The U.S. Energy Information Administration and OPEC also cut their forecasts for energy demand in recent days.
"The IEA report comes after the DOE and OPEC versions this month, which might lessen its impact, but it tells the same story as the others," said Tim Evans, energy analyst, Citi Futures Perspective, New York. "Demand is falling short of expectations."
The Organization of the Petroleum Exporting Countries (OPEC), which has announced 4.2 million bpd of production cuts since September in a bid to tighten the market, also pumped more oil last month than in March, the IEA said.
OPEC members' compliance with production quotas has fallen to 78 percent in April from 83 percent a month earlier.
The producer group next meets on May 28, and is unlikely to alter production limits if prices remain strong, Iraq's oil minister said Thursday. [
]Unrest in Nigeria, Africa's biggest oil producer, provided some support for oil prices.
Nigeria's main militant group on Wednesday ordered oil workers in Africa's biggest oil producer to leave the delta within 24 hours following heavy clashes between MEND and security forces.
The Movement for the Emancipation of the Niger Delta (MEND) on Thursday gave oil companies an additional 48 hours to evacuate their staff, but threatened to attack helicopters and planes after the deadline. [
]A security source working in the oil industry said it was taking the threat seriously, but there were no plans to evacuate staff. (Reporting by Richard Valdmanis in New York, Chua Baizhen in Singapore and David Sheppard in London; Editing by David Gregorio)