Earlier, the bench had listed the plea seeking an independent probe in this case to be taken up on 15th January.
The two pleas were filed by Maharashtra-based journalist B. R. Lone and Congress leader Tehseen Poonawala.
Lone contended that a fair probe was needed into the "mysterious death" of Loya.
He also said that his family does not have any doubt about the "integrity of investigative agencies".
Among the cases mentioned by the four SC judges included the one linked with Loya's death. He died of cardiac arrest on December 1, 2014, according to hospital records, a day after he attended the wedding ceremony and reception of the daughter of fellow Judge Sapna Josh.
'This matter requires bi-parte hearing rather than ex-parte, ' the Supreme Court said on Friday. Many things less than desirable have happened in the last few months. "Unfortunately, our efforts have failed in convincing the Chief Justice of India to take steps to protect this institution", Justice Chelameswar said. We all believe that the SC must maintain its equanimity. Judge Loya was hearing at the time of his death the encounter case of Sohrabuddin Sheikh, in which BJP President Amit Shah was also an accused as then minister of state for home in Gujarat.
The judges also released an undated seven-page letter they had sent to the CJI Dipak Misra which said that the Chief Justice was the master of the roster but this was "not a recognition of any superior authority, legal or factual of the Chief Justice over his colleagues".
Abdi on Saturday said he would now be filing an intervening application in the Supreme Court, seeking that the case and all petitions pertaining to it be heard by the Bombay Hight Court as it is in-charge of Maharashtra's subordinate judiciary of which Loya was a part.
Relying on a report in the Caravan Magazine, the lawyers' association moved the Bombay High Court contending that Loya was under tremendous pressure while he presided over the alleged Sohrabuddin Sheikh fake encounter case.