Ms Banerjee also directed the district authorities to put up speed restrictions on the road.
The bus had rammed into the bridge early yesterday and fallen deep into the canal.
The toll in the bus tragedy rose to 42 today. Eight people are believed to have been injured in the accident.
"An inspection of the condition of the bridge must be conducted. And speed-breakers must be installed in and around the area ... That is really needed," she told reporters in Baharampore.
The state government had announced compensation of Rs 5 lakh to the next of kin of each of those killed and Rs 1 lakh for those gravely injured. Others injured would get a compensation amount of Rs 50,000.