SINGAPORE - Oil prices rose on Wednesday, lifted by a fall in U.S. crude inventories and concerns that tensions in the Middle East could disrupt supplies.

Brent crude futures, the international benchmark for oil prices, were at $58.27 at 0131 GMT, up 39 cents, or 0.7 percent from their last close - and a third above mid-year levels.

U.S. West Texas Intermediate (WTI) crude futures were at $52.08 per barrel, up 20 cents, or 0.4 percent and almost a quarter above mid-June levels.

Traders said that prices were pushed up by a drop in U.S. crude inventories as well as concerns that fighting in Iraq and mounting tensions between the United States and Iran could affect supplies.

U.S. crude inventories fell by 7.1 million barrels in the week to Oct. 13 to 461.4 million barrels, the American Petroleum Institute (API) said late on Tuesday.

"API data from the U.S. overnight showed a big draw...If $52.83 in WTI and $59.22 in Brent give way, then oil is stepping into a new and much higher range," said Greg McKenna, chief market strategist at futures brokerage AxiTrader.

Official U.S. fuel inventory data is due to be published later on Wednesday by the Energy Information Administration.

Adding to a tightening U.S. market, tensions in the Middle East meant that a risk premium was being priced into oil markets.

Iraqi government forces captured the major Kurdish-held oil city of Kirkuk earlier this week, responding to a Kurdish independence referendum, and there are concerns that fighting could disrupt supplies.

"In the case of Kurdistan, the 500,000 barrel-per-day (bpd) Kirkuk oil field cluster is at risk," U.S. bank Goldman Sachs said on Tuesday.

The Iraq crisis adds to a looming dispute between the United States and Iran. Last Friday U.S. President Donald Trump last week refused to certify Iran's compliance over a nuclear deal, leaving Congress 60 days to decide further action against Tehran.

During the previous round of sanctions against Iran, some 1 million bpd of oil was cut from global markets.

(Reporting by Henning Gloystein; Editing by Kenneth Maxwell) ((henning.gloystein@thomsonreuters.com; +65 6870 3263; Reuters Messaging: henning.gloystein.reuters.com@reuters.net))