The rupee resumed lower at 63.58 per dollar as against yesterday's level of 63.52 at the Interbank Foreign Exchange (Forex) Market.
It hovered in a range of 63.6550 and 63.58 per dollar during the late morning trade before quoting at 63.61 at 1100 hours.
Oil prices fell in Asian early trade with the possible return of Iranian crude to the global market stoking further concerns over a supply glut, analysts said.
Meanwhile, the benchmark BSE Sensex trading higher by 102.20 points or 0.37 per cent to 27,832.41 at 1105 hrs.