Earlier, the rupee opened higher at 63.32 per dollar as against yesterday's level of 63.39 per dollar at the Interbank Foreign Exchange (Forex) Market.
The rupee slipped marginally to 62.41 per dollar on spell of dollar demand from importers before quoting 63.39 per dollar at 1100 hrs.
It moved in a range of 63.41 per dollar and 63.32 per dollar during the morning deals.
Euro firmed up early Asian trade, while the safe-haven yen slipped on signs that cash-strapped Greece was making some progress, efforts to secure fresh funding.
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