The apex court asked Justice L Nageswara Rao to prepare a road map for amending the IOA constitution and holding elections by December 15, 2022.
An estimated 7,000 athletes from 28 states and eight Union Territories are expected to take part across 36 disciplines that include most traditional Olympic sports.
India will send a 322-member strong contingent to the Birmingham Commonwealth Games, out of which 215 will be athletes.
The IOC on September 8 issued a final warning to IOA to resolve its internal matters by December this year, failing which the world sports body will ban India.
Indian judokas will have their Commonwealth Games 2022 competitions on August 1 and 3 and Jasleen Singh is expected to reach by July 29.
Shooting has been India's strongest sport in the Commonwealth Games with 135 medals till now. Wrestling is in third spot with 102 medals.
In a letter addressed to IOA secretary general Rajeev Mehta, the IOC also said that if the issues are not resolved until December 2022, the Indian Olympic Association will be banned.