The apex court had last week upheld the conviction and death penalty to Mukesh, Pawan, Vinay Sharma and Akshay Kumar Singh awarded to them by the Delhi High Court court on March 13, 2014.
"I will be filing the review petition before the Supreme Court next week, perhaps on Monday or Tuesday," said Mukesh's advocate M L Sharma.
A P Singh, the lawyer of the other three convicts, said he it would take him some time before filing the review petitions.
The four convicts are being provided counselling by the authorities in Tihar jail where they are lodged since their arrest in the horrific gangrape of a 23-year-old woman in a moving bus in south Delhi on December 16, 2012.
More From This Section
"They are under depression and being given expert counselling," said a source in Tihar.
They have also been freed from the jobs assigned to them in the jail to keep them relaxed, the source said.
The jail authorities have kept Vinay in Jail number 4, the remaining three Mukesh, Pawan and Akshay are in jail number 2.
Upholding the HC verdict in the matter, Justice R Banumathi, the lone woman judge in the Supreme Court, had said that if at all there is a case warranting death sentence, it is the December 16, 2012 gangrape-cum-murder case which "shocked the collective conscience of the society".