Rajan warned against waiting to act until inflation expectations become entrenched, but also said the Reserve Bank of India would overlook temporary spikes in inflation.
In New York market, the dollar fell against the Japanese yen yesterday, taking cues from declines in US stocks.
In New York, the US currency fell against the Australian dollar and British pound on Monday as investors continued to weigh the potential weather drag on recent economic data, and whether or not it could sway monetary policy.
The rupee has also been bolstered by inflows into equities and debt this month, despite concerns about the withdrawal of the U.S. Federal Reserve's monetary stimulus and China's economy.
In New York, the US dollar swung higher against many of its rivals on Wednesday.
Data showed the country's wholesale price-based inflation eased to an eight-month low in January as food prices moderated, offering some relief to policymakers who have long battled to get a handle on surging prices.
In New York, the dollar fell against the British pound on Wednesday after the Bank of England raised its projections for UK growth in 2014. However, analysts warned that gains against the dollar could be limited.
Domestic shares and other global markets rose on upbeat trade data from China earlier in the day and after a US House deal extending the federal borrowing authority.
In New York, the dollar edged down against the yen for the first time in three sessions as investors weighed economic data and remarks from outgoing Federal Reserve Chairman Ben Bernanke.
The partially convertible rupee closed at 61.5350/5450 per dollar compared to 61.54/55 on Wednesday.
The headline inflation eased to a five-month low in December on lower vegetable prices, providing some relief to the ruling coalition before a national election and increasing the odds that interest rates will stay on hold this month.
Foreign fund flows into and out of the domestic sharemarket will continue to be key for the rupee's fortunes.
India is due to post industrial output later in the day, with analysts expecting a return to modest growth, and is due to post wholesale and consumer prices data next week amid expectations vegetable prices have eased.
A fall in blue-chips such as Larsen and Toubro on anxiety ahead of the quarterly earnings season and inflation data hurt local shares.
The rupee has fallen 0.8 per cent so far this year, hitting a one-month low on Friday, hurt by a stronger dollar globally as well as caution ahead of key economic data this month.
it was done following the government's approval to increase foreign investment limit in the bank to 62 per cent from 49 per cent.
The partially convertible rupee closed at 62.16/17 per dollar compared to 61.79/80 on Tuesday. Financial markets were closed on Wednesday for Christmas.
The partially convertible rupee closed at 61.79/80 per dollar on Tuesday compared with 61.9525/9625 on Monday. The unit rose to 61.78 during the session, its highest since December 18.
The rupee resumed slightly lower at 62.05 per dollar as against the last weekend's level of 62.04 at the Interbank Foreign Exchange market. It recovered to 61.88 per dollar before quoting 61.93 at 1045 hours.
Policymakers have been grappling with high prices for food staples such as onions and potatoes even after the central bank raised interest rates by a quarter percentage point in each of its previous two reviews.