A three-judge bench headed by Justice U U Lalit said he would hear the matter on August 30 after counsel for the Maharashtra government sought time to collate documents.
Deputy Chief Minister Devendra Fadnavis made the announcement after the meeting.
The Supreme Court was hearing a plea alleging trees in the colony, the green lung of the congested metropolitan city, were being cut despite a restraining order of the top court.
This rich urban forest is a biotope that houses some newly-discovered species of scorpions and spiders, besides being a treasure trove of birds, butterflies, amphibians and mammals.
Just before the 2019 Assembly elections, the proposed car shed in the wooded area had widened the gap between the then-ruling allies Bharatiya Janata Party and the Shiv Sena.
Assuring that no more trees will be cut for the project, the senior BJP leader also said that although the environmentalists have the right to express their opinion, they should not ingnore the facts.
Maharashtra Chief Minister Eknath Shinde and his deputy Devendra Fadnavis of the BJP had directed the state administration to submit a proposal to build the Metro-3 car shed in Aarey.
He said there are daily sightings of leopards in Aarey, a forested patch adjoining the Sanjay Gandhi National Park in the north-west part of the city.
Apart from leopards, some 300 different varieties of flora and fauna are found in the Aarey forest, located in suburban Goregaon and adjacent to the Sanjay Gandhi National Park.
The decision to set up the proposed Mumbai Metro Line-3 car shed in the wooded Aarey area was opposed by environmental groups, as it involved cutting down hundreds of trees.
The Union Ministry for Housing and Urban Affairs wrote to Maharashtra chief secretary stating that the state should develop the Metro Line-3 shed at Aarey Colony only.
The government authorities must not lose sight of the fact that the issue at hand was one that concerned the citizens and used public money, the bench said.
Another 1.5 km-long tunnel boring work on the 33.5 km line is pending, apart from construction of the stations and other works like signalling, telecommunications, overhead wires etc.