"The recent weakness of the exchange rate may, however, complicate policy management and limit the scope for further cuts in RBI policy rates," the agency said in a statement.
Since January 1, the rupee value has fallen by 5.5 per cent against the US dollar and touched life-time low of 58.98 on Tuesday.
The RBI is scheduled to announce its mid-quarter monetary policy review on June 17. Amid decline in industrial production and easing of inflation, industry has been clamouring for further cut in policy rates.
Fitch said inflation pressures have begun to show more pronounced signs of easing in response to weaker economic conditions and the tightening of monetary conditions by the RBI during the course of 2011-2012.
However, since January 2012 RBI has been reducing the key policy rates and has cut them by 1.25
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