The Odisha government had moved the apex court in December last year seeking an order asking Chhattisgarh to stop its construction work in projects on the upstream of Mahanadi.
A bench of Justices S A Bobde and L N Rao considered the statement made by the counsel of the Centre and posted the matter for hearing in the second week of December.
The Ministry of Water Resources said it will decide on November 19 whether the notification will be issued by it.
Odisha has been opposing Chhattisgarh's plans to build 13 barrages and seven pick up weirs (small dams) across the Mahanadi, in a plan to extract more water. Odisha has said this would adversely affect the interests of its farmers.