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The rupee edged up to 61.52/53 versus its previous close of 61.54/55, as debt-related dollar inflows and comments from Moody's helped the unit.
Foreign funds have bought nearly $2 billion worth of Indian debt so far in January.
Traders said comments from a Moody's analyst saying India was unlikely to be downgraded also helped the rupee.
Traders expect the pair to hold in a 61.42 to 61.65 range during the rest of the session.
BSE Sensex was trading down 0.4% and will be watched for cues on foreign fund flows.
