Responding to her remarks, state Health Minister C Vijayabaskar said an ordinance in this regard would be submitted to the Centre tomorrow morning.
The development comes after Tamil Nadu Chief Minister K Palaniswami, state ministers and Lok Sabha Deputy Speaker M Thambidurai had multiple meetings with Prime Minister Narendra Modi and other central ministers over NEET.
Tamil Nadu, which had initially sought permanent exemption from NEET by passing two Bills in the Assembly, later made efforts to be out of its ambit for at least a year or two.
State Education Minister K A Sengottaiyan, in Coimbatore, said the government wanted total exemption from NEET for the benefit of students, particularly from rural areas.
However, efforts were on to prepare students for common tests in future, he said.
Sitharaman said although students who had qualified in NEET included those from the state board, students from rural Tamil Nadu were largely out of it.
Barring government colleges, NEET has already been implemented for other institutes, the Union minister said.
In Puducherry, Union Minister Pon Radhakrishnan said the Centre was inclined to accept a representation from Tamil Nadu on NEET.
Terming Sitharaman's remarks a "good news" Vijayabaskar said, "I thank Union Minister Nirmala Sitharaman and Prime Minister Narendra Modi on behalf of Tamil Nadu government and students."
Tomorrow morning the state ordinance seeking exemption from NEET would be submitted to the Centre. A government secretary would be leaving for Delhi tonight and the ordinance would be promulgated after consultations with the chief minister, he said.
Vijayabaskar said care was being taken to ensure that the proposed move does not face any legal hurdles and the government was confident of completing the admission process ahead of the month-end deadline.
In future, students would be well-prepared for NEET and the syllabus too would be oriented likewise, he said.
He said if the BJP-led government at the Centre was truly interested in the welfare of Tamil Nadu students it should get presidential assent for the two Bills for permanent exemption of the state from NEET.
Actor Kamal Haasan, meanwhile, in a tweet, asked the state government to "talk immediately" (with the Centre) on the NEET issue since the matter involved the future of students.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)