"I don't think this administrative subject should be an issue of interest to the media," Modi said.
"Besides, it will come up only in September," he told The Wall Street Journal, referring to the three-year term of Rajan which ends in September.
"Do you support the reappointment of Mr Rajan, the central bank governor?" the PrimeMinister was asked.
BJP MP Subramanian Swamy has levelled allegations against Rajan including of sending confidential and sensitive financial information around the world and asked the Prime Minister to sack him immediately.
The BJP leader also accused Rajan of publicly disparaging the Modi government and alleged that he is a member of "a US dominated group" that was set up to defend America's dominant position in the global economy.
Jaitley also said that he does not approve of "personal comments" against anyone including the RBI Governor.
