According to official sources, the state government has already sent relief material to both South and North 24-Parganas, besides East Midnapore, West Midnapore, Murshidabad, Bankura and Purulia districts - the other rain-affected areas.
Murshidabad has recorded 21 cm of rainfall in the past three days - the highest in the state.
'The state government is closely monitoring the situation,' Dasgupta said.
Sundarbans Affairs Minister Kanti Ganguly, meanwhile, visited the affected areas to survey the damage and monitor the distribution of relief material.
The state irrigation department has been asked to rebuild the damaged embankments in Sundarbans.