A bench headed by Justice RM Lodha, which three-days ago had allowed release of 2 TMC water, increased by 0.44 TMC the amount of water to be provided to Tamil Nadu on the recommendation of the Central Water Commission (CWC).
The bench also comprising justices J Chelameswar and Madan B Lokur directed Karnataka to release the water immediately.
The court passed the order after going through the report submitted by an expert committee of CWC which said that only 10% of cultivated land in Tamil Nadu needs water.
The committee said that 50% of the arable land has already been cultivated and 40% is on the verge of being cultivated and only the remaining 10% requires water.
"Having heard the parties and taking consideration of the expert committee report, we are satisfied that the interest of justice would be met if Karnataka is directed to release 2.44 TMC of water," the bench said.
On February 4, the apex court had directed Karnataka to release 2 TMC (Thousand Million Cubic feet) of Cauvery water to Tamil Nadu and had asked the CWC to file report on the water requirement of the two warring states.
The court had also asked the CWC to form a three-member expert body which will visit the states and directed it to file a report within two days.
Last month, the Cauvery Monitoring Committee had said that since current storage level in Karnataka was sufficient only to meet the state's drinking water requirements, it was not in a position to release water to Tamil Nadu.
The Cauvery River originates in Karnataka and meanders its way over almost 800 km in Tamil Nadu. The topography of the region means that Karnataka can control how much water is released downstream to Tamil Nadu.
Earlier on December 5, 2012, the Supreme Court had directed Karnataka to release 10,000 cusecs of Cauvery water daily to its neighbouring state and asked the CWC to hold a meeting to decide the amount of water required by each state.
Cusec is a measure of flow rate of water and is abbreviation for cubic feet per second (which is equivalent to a flow of 28.317 litres per second) and 11,000 cusecs flow for a day amounts to 1 TMC (thousand million cubic feet) water.
The committee had then directed Karnataka to provide Tamil Nadu with 12 TMC of Cauvery water during December and did not pass any order for the month of January as the Centre had assured the apex court that it would notify the tribunal's award by December 31.