Worries of sustained inflationary pressures in the economy also prompted investors to short the domestic currency, with the government due to announce November retail price inflation data and October factory output data after market hours.
Asian shares stumbled to a 2-1/2 month low on Thursday on heightened expectations the Federal Reserve may act sooner than later to unwind its stimulus after a provisional budget deal in Washington eased some of the fiscal drag on the US economy.
"With worries over tapering resurfacing, the rupee is trading with a weaker bias but some dollar inflows are seen helping limit further losses," said Uday Bhatt, a foreign exchange dealer with UCO Bank.
The partially convertible rupee closed at 61.81/82 per dollar compared with 61.245/255 on Wednesday. The pair moved in a 61.4825 to 61.90 range during the session.
Traders said dollar sales by foreign banks were offset by the more than 1 percent decline in the domestic sharemarket.
Wholesale inflation is seen remaining close to 9-month highs in November, while factory output is expected to have contracted for the first time in four months in October, separate Reuters polls showed.
In the offshore non-deliverable forwards, the one-month contract was at 62.31 while the three-month was at 63.21.
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