The gains will provide a much-needed reprieve after the rupee fell for a fifth week and hit an over two-month low last week in trade.
Reserve Bank of India Governor Raghuram Rajan, in a hurriedly called press conference, said that the central bank has now routed back most of the dollar demand from oil companies to the market.
Most immediately, he pledged to move slowly if needed in winding down an oil window that provides dollars directly to state-run oil companies
The rupee has already shed around 3.3 percent over the last five sessions.
The rupee was also pressured as the euro fell for a second day on Friday, hurt by the European Central Bank's surprise interest rate cut and a downgrade to France's credit rating, while the dollar inched up before a key US jobs report.
S&P is the only of the three major credit agencies with a 'negative' outlook on India.
In the global market, the dollar was quoted lower in the early trade with investors looking ahead to the following day's European Central Bank policy decision.
Forex dealers said besides dollar gaining against other currencies in the global markets, increased demand for the American currency from importers and lower opening in the domestic equity market influenced the rupee.
The future action on rate change will depend on data said the RBI Chief.
The central bank is widely expected to increase the repo rate by 25 basis points on Tuesday to 7.75 per cent to fight inflation even as it continues to unwind its rupee defense steps, a Reuters poll showed.
The Indian currency resumed lower at 61.50 per dollar as against the last closing level of 61.46 at the Interbank Foreign Exchange Market.
Dealers attributed the fall in rupee to gains made by US dollar against the euro and other overseas currencies ahead of US jobs data and a lower opening in the domestic equity market.
India plans to launch trading of government bond futures within the next two months as part of efforts to deepen its financial markets, according to several sources involved in the discussions with the central bank.
Global currency market sentiment is likely to be driven by the US deficit and debt ceiling negotiations, with markets likely to turn more risk averse closer to October 17, the date by which the US Congress must approve raising the country's borrowing limit.
The improvement in the current account deficit is expected to provide a major reprieve to the government and the Reserve Bank of India which have been battling to prop up the rupee.
The RBI recently met with a handful of foreign banks and asked them to stop acting as market-makers for rupee NDFs, according to three bankers involved in the discussions.
The RBI's comments, announced after trading hours on Wednesday, comes as yields had risen by 60 basis points after a surprise hike in the repo rate on Friday and on worries about the fiscal second borrowing programme of the government.
New Reserve Bank of India chief makes his first monetary policy statement on Friday with expectations he may scale back some of the emergency measures that have helped the rupee bounce from a record low.
Of the 52 economists polled, 50 expect the policy repo rate to remain at 7.25 per cent, and 47 of 48 respondents see the cash reserve ratio, or the portion of deposits banks have to maintain with the central bank, unchanged at 4 per cent.
The domestic currency spurted by 425 paise or 6.28 per cent in last five straight sessions.