Oil prices rose by almost 1 percent on Tuesday, lifted by a weak dollar, tensions in the Middle East and concerns of a further fall in Venezuelan output. U.S. West Texas Intermediate (WTI) crude futures CLc1 were at $62.61 a barrel at 0744 GMT, up 55 cents, or 0.9 percent, from their previous close. Brent crude futures LCOc1 were at $66.53 per barrel, up 48 cents, or 0.7 percent. “Tensions between Saudi Arabia and Iran gave prices some support,” said Sukrit Vijayakar, director of energy consultancy Trifecta in a note. Futures traders also pointed to general dollar weakness .DXY as a supporter for crude.