He said several members of the gay community had filed petitions to the top court asking for a review of the order criminalising gay sex.
Gay pride marches have also been held in Bangalore and the entertainment capital Mumbai since the court's ruling in December last year.
The Supreme Court struck down a 2009 ruling by a lower court that decriminalised gay sex.
It said responsibility for changing the 1861 law rested with lawmakers and not the courts.
Gay sex had been effectively legalised in 2009 when the Delhi High Court ruled that a section of the penal code banning "carnal intercourse against the order of nature" was an infringement of fundamental rights.
Anjali Gopalan, founder of AIDS awareness group Naz Foundation, said the two conflicting verdicts had left the gay community feeling insecure and vulnerable.
"The courts have literally asked people to go back into the closet after coming out," said Gopalan, whose group led the 2009 case.
While gay rights groups say the law is rarely used to prosecute homosexual acts, they add that police do use it to harass and blackmail members of their community.
Surveys show widespread disapproval of homosexuality in India, obliging many gay men and women to live double lives.
Hindu right-wing groups have been especially vocal about their dislike of same-sex couples, calling such relationships a disease and a Western cultural import.
“It is against nature, it is against the values and against the heritage of the country,” said Vinod Bansal, a spokesman for the Vishva Hindu Parishad or World Hindu Council, ahead of the march.