Azmi met with success over her portrayal of a troubled doctor in the tele-series, Jeevanrekha (Lifeline). She has also acted in television. Tanvi has acted in number of Marathi and Hindi films and Marathi tele serials. She first appeared in a young widow in telefilm Rao Saheb (1986) directed by Vijaya Mehta. She also acted opposite Mammootty, in Malayalam film Vidheyan (The Servile, 1993), directed by Adoor Gopalakrishnan.
In 2014, she was roped in for the Sanjay Leela Bhansali's Bajirao Mastani. She was supposed to play the role of Radhabai who is the mother of the protagonist. She had to go bald for her role in the movie.