Increased demand for the American currency from importers and banks kept the dollar in fine shape.
Forex dealers said the euro hitting a 10-month high against the greenback, however, capped the rupee's fall.
Yesterday, the rupee had settled almost flat at 64.53 against the US currency following fag-end dollar demand.
Meanwhile, the benchmark Sensex moved down by 76.62 points, or 0.24 per cent, at 30,881.63 in early trade today.