A bench headed by Justice M B Lokur said that the order has already been passed in the matter.
The apex court had last week constituted a Special Investigation Team (SIT) headed by the current CBI director to look into the allegations of Sinha scuttling the coal scam probes when he was the probe agency chief.
Senior advocate Vikash Singh, appearing for Sinha, referred to the alleged Sahara-Birla payoff case and the apex court had not considered the diary entries as cogent material for probe.
The bench also comprising Justices A K Sikri and Kurian Joseph denied the request to modify the order.
Singh then said that he would file a plea for recall of the order, to which the court said he was at liberty to do so.
Sinha was indicted by apex court-appointed panel which had opined that he had influenced and tried to scuttle the probe into coal scam cases.