Fathima, a first year masters student in Humanities and Development Studies in IITM, was found hanging from the ceiling fan in her hostel room on November 9.
While no suicide note was found, a note in her mobile phone had mentioned some faculty names as the cause of her death.
In a statement issued here, Jawahirullah said that he had spoken to Abdul Latheef, the girl's father, who alleged that his daughter was subjected to religious discrimination by a faculty member.
According to Jawahirullah, Fathima's father had told him that once the professor had given his daughter three marks less and the same was corrected after it was brought to the notice of the head of the department.
The MMK leader demanded a probe by the CBCID into the suicides by the students in IITM.
"The girl's father had told me that there was religious discrimination," Jawahirullah told .
Hailing from Kollam in Kerala, Fathima was a bright student.
Her father has given a memorandum to Kerala Chief Minister Pinarayi Vijayan, requesting Kerala government's intervention in the probe into his daughter's death.
Fathima's case is the fifth suicide at IIT-M in the last one year.
An official of IIT-M's Humanities and Social Sciences department said the head of the department was not available for comments.
( With inputs from IANS )