Forex dealers said besides increased selling of the American currency by exporters and banks, the dollar's weakness against other currencies overseas, supported the rupee.
A higher opening in the domestic equity market also strengthened the rupee, they added.
The rupee had ended one paisa down at 61.92 against the Greenback yesterday.
Meanwhile, the benchmark BSE Sensex spurted by 88.93 points, or 0.31 per cent, to 28,651.75 in early trade today.