* Top forecasters cut 2013 oil demand growth estimates * U.S. jobs data, oil supply worries may support prices * U.S. targets web of companies accused of evading Iran sanctions * Coming Up: U.S. Retail sales; 1230 GMT (Updates prices) By Manash Goswami SINGAPORE, April 12 (Reuters) - Brent crude dropped below $104 per barrel on Friday, not far from an eight-month low on concerns over global demand growth, although an improvement in U.S. jobs data and worries over supply helped put a floor under prices. The International Energy Agency (IEA) on Thursday trimmed its 2013 global oil demand growth estimate, following similar moves by the U.S. Energy Information Administration (EIA) and the Organization of the Petroleum Exporting Countries (OPEC)earlier this week. But the IEA warned it was too early to call a bear market, citing supply risks. Brent crude fell 28 cents to $103.99 a barrel by 0703 GMT. The contract slipped to a low of $103.40 earlier this week, its weakest since July 25, 2012. U.S. oil slipped 46 cents to $93.05, after ending well below its 50-day moving average of $94.33 on Thursday. "The market is set to go down further because of the weak demand growth outlook and an overall weak global economy," said Ken Hasegawa, commodity sales manager at Newedge in Tokyo. "But there is still expectation the global economy will improve, and concerns over supply are together supporting the market." Oil should also draw support from data showing a drop in the number Americans filing for new unemployment benefits last week, which helped ease fears of a deterioration in labour market conditions after a surprise stumble in job growth in March. Brent is expected to trade between $103.50 and $105.50 a barrel over the next 24 hours, with the U.S. benchmark staying within $92.50 and $94.50, Hasegawa said. DIM DEMAND OUTLOOK, SUPPLY RISKS World oil use will rise by 795,000 barrels per day (bpd) this year, Paris-based IEA said in its monthly report. That is 25,000 bpd less than it estimated last month and a third straight reduction. The IEA now has virtually the same view on demand as OPEC, which in a report on Wednesday lowered its consumption growth forecast to 800,000 bpd. The EIA on Tuesday lowered its estimate by 50,000 bpd to 960,000 bpd. But the IEA lowered its oil supply forecast for countries outside OPEC this year for the first time in several months and said worsening security in Libya and oil theft in Nigeria had contributed to a decline in OPEC output last month. This is in addition to the supply worries that have prevailed through most of last year as tension between the West and Iran escalated over Tehran's controversial nuclear programme. Concerns about supply from the Middle East have kept Brent above $100 a barrel through most of 2012 and this year. The United States has slapped financial penalties on an Iranian businessman, a Malaysian bank and a network of companies it accused of attempting to evade international sanctions on Iran's nuclear program through money laundering. Markets were also watching developments in north Asia after a U.S. government agency said North Korea has a nuclear weapon it can mount on a missile, adding an ominous dimension to threats of war by Pyongyang, but the assessment was swiftly dismissed by several U.S. officials and South Korea. (Editing by Himani Sarkar)

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