Media reports are saying that such a meeting and interaction is expected in the wake of four judges of the apex court issuing an appeal to the nation to save the institution from further damage if they want democracy to survive in the country.
Earlier, in an unprecedented move and a first in independent India's history, four Supreme Court judges criticised Chief Justice Misra, saying that events in the Supreme Court had left them with no choice but to address their concerns before the nation.
Describing the press conference as an extraordinary event in the history of the apex court, he said that the four judges were compelled to act in this way because Chief Justice Mishra could not be persuaded to mend the ways of the court.
"The four of us gave a letter to the Chief Justice of India (CJI) some months ago," the justices revealed.
"It is discharge of debt to the nation which has brought us here, Justice Ranjan Gogoi told media here this morning.
"Democracy in this country would not survive without an institution as important as the Supreme Court, and a free judiciary," Justice Chelameshwar said.
In response to a question on whether Chief Justice Misra should be impeached, Justice Chelameshwar said it was for the nation to decide.