A bench headed by Chief Justice Dipak Misra would examine the scheme to ensure smooth water distribution among the four southern riparian states.
The court had also ordered setting up of the Cauvery Management Board to monitor the release of Cauvery water to Tamil Nadu by Karnataka by March 30.
Tamil Nadu had already said the draft scheme was a replica of the final award of the tribunal. "I am requesting for adjournment till the first week of July as I do not have the assistance and instruction from the council of ministers of Karnataka", Divan said. "We were expecting the Centre to use its discretion to implement the Distress Formula under Distress Redressal Mechanism, but going against the interests of Karnataka, it has made a decision to constitute the Cauvery Management Scheme", he said.
The apex court had earlier rapped the Centre over the delay in filing of the draft Cauvery management scheme.
On 14 May, Union Water Resources Secretary, Upendra Prasad Singh, submitted the Centre's Cauvery Draft Action Plan.
The Centre was also asked to drop the clause that said that the Centre would give directions from time to time to the implementing authority - a clause which was objected to by Tamil Nadu. The scheme outlined the process of allocating the share of the waters of the Cauvery River to Tamil Nadu and Karnataka taking in view the court's February judgment.
The apex court had slammed the central government for the "sheer contempt" of its orders by not framing a scheme to distribute Cauvery water among Tamil Nadu, Karnataka, Kerala, and Puducherry.