Tharoor recently finished the Mumbai-born author's latest novel, 'Victory City', which is based around the medieval city of Hampi, the ruined site in Karnataka of the Vijayanagara Empire.
The award-winning novelist was stabbed before a speech in New York on August 12, 2022.
Rushdie was stabbed in the neck and stomach on stage in front of a stunned audience on August 12 by 24-year-old New Jersey resident Hadi Matar.
The attack on Rushdie triggered global condemnation and an outpouring of support for the author.
Matar, 24, said he considered late Iranian leader Ayatollah Ruhollah Khomeini a great person but wouldn't say whether he was following a fatwa issued by Khomeini in Iran in 1989 that called for Rushdie's death.
In Iran's first official reaction to Friday's attack, ministry spokesperson Nasser Kanaani said freedom of speech did not justify Rushdie's insults against religion.
Known for her writings on the oppression of women and criticism of religion, several of her works are banned in Bangladesh, the country of her origin. She has been living in exile since 1994.
The attack on Rushdie was met with shock and outrage from much of the world, along with tributes and praise for the award-winning author.
The New York State Police identified the suspect as Hadi Matar from Fairview, New Jersey
Rushdie has long faced death threats for "The Satanic Verses," viewed by some Muslims as containing blasphemous passages. The book was banned in many countries with large Muslim populations.