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At the Interbank Foreign Exchange (Forex) market, the domestic unit was quoted at 51.34 a dollar, up by 15 paise over the previous close of 51.49/50.
Dealers said hopes of pick up in capital inflows from foreign funds in the domestic stock markets, which may open in positive zone mainly supported the rupee.
Also, some dollar selling by banks and exporters and gains in other Asian currencies against the greenback also helped the domestic currency to edge higher, they added.
The rupee had ended 9 paise lower at 51.49/51 a dollar in choppy trade on Tuesday after the Sensex closed in the negative zone with a fall of 79.72 points.
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