Forex dealers said increased capital inflows as well as higher opening in the domestic equity supported the rupee.
They said, however, greenback's strength against other currencies overseas capped the gains.
The rupee had ended higher by 4 paise to 63.40 against the US currency in yesterday's trade following consistent selling of dollar by banks and exporters.
Meanwhile, the benchmark BSE Sensex rose by 122.04 points or 0.43 per cent to 28,330.80 in early trade.