The Garden Reach Shipbuilders and Engineers Ltd (GRSE) is building the four warships in its Kolkata yard.
Commodore Ratnakar Ghosh, Director (shipbuilding), GRSE, said that two of the ships would be delivered to the Navy by December and the third one two months later.
"We are trying our best to deliver the fourth one also by March," the official told PTI.
The ships are meant for attack missions as well as patrolling, anti-smuggling, anti-poaching and rescue operations carried out by the Navy.
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Two of them are also expected to participate in the international fleet review to be held in Visakhapatnam during February, 2016.
After launching into the sea, fitting out of equipment and ship systems would be completed and the ships would be put to sea for trials before commissioning.
These ships are an improved version of fast attack craft built by GRSE from 2009 to 2011.
Designed for a maximum speed of 35 knots, these ships are 48m long, 7.5m wide and displace around 315 tonnes.
The craft would have the latest communication equipment and radars to enable effective surveillance.
The ships will be fitted with CRN-91 indigenous 30mm Gun with Optronic Pedestal to give them requisite firepower for effective patrolling.
"Kamorta-class anti-submarine warfare corvette Kadmatt will go for sea trials next month and we hope to deliver it by August. This ship will also participate in the fleet review," GRSE officials said.