In line with equity market, the rupee surrendered initial gains, but was still quoted higher by two paise to 62.35 per dollar in late morning deals on Friday on selling of the American currency by banks and exporters.
The rupee resumed higher at 62.30 per dollar as against the last closing level of 62.37 at the Interbank Foreign Exchange (Forex) Market and firmed up further to 62.28 per dollar.
However, it trimmed its initial gains and was quoted at 62.35 per dollar at 10:45am.
It moved in a range of 62.28 and 62.38 per dollar during the morning deals.
In New York market, the dollar rose to its highest level on Friday against the yen in February, while the euro strengthened after the region's top central bank dismissed the threat of deflation in the euro zone, prompting questions about future easing actions.
Investors looked ahead of January jobs report for a better read on the labour market's recovery and prospects for economic growth.
Meanwhile, the benchmark BSE Sensex rose by 75.06 points, or 0.37%, to 20,385.80 at 10:45am.