The court was hearing an application filed by Cricket Association of Bihar, alleging that Srinivasan, against whom the apex court had ordered inquiry, be not allowed to take up the ICC post.
The apex court had on May 16 ordered a probe by the Justice Mukul Mudgal committee against Srinivasan and 12 prominent players in IPL betting and spot-fixing scandal.
The court, which had asked the panel to file a report in a sealed envelope before it by the end of August, had also asked Srinivasan not to act as BCCI President during the probe.
Earlier, Srinivasan had moved the court seeking modification of earlier orders to enable him to function as BCCI President for non-IPL cricketing activities. The plea was turned down.
The court had said that it cannot modify the orders passed by another bench and asked Srinivasan to approach the bench which had delivered the verdict.
It had earlier appointed veteran cricketer Sunil Gavaskar as an interim president of BCCI for managing IPL 7.
Shiv Lal Yadav was appointed as an interim BCCI president by the court to look after the other cricketing activities of BCCI.