"Food inflation is still elevated but we hope that it will come down further as full Rabi crops arrive in the market," he said addressing an IBA meeting here.
The WPI and core inflation have fallen substantially, Chidambaram said.
"CPI inflation has also shown moderation, yet it is still elevated," he added.
Food inflation in April stood at 6.08 per cent, while the overall WPI inflation fell to a three-year low of 4.89 per cent. However, retail or consumer price index (CPI) inflation is at 9.39 per cent in April.
Chidambaram highlighted that while the RBI has already cut the repo rate by 125 basis points since early 2012, the commercial banks have cut rates by only 30 basis points.