Fianna Fáil's Education spokesperson says legislation is needed to protect teachers from pressure from the parents of Leaving Cert students.
The exams have been cancelled and replaced with calculated grades, which will be estimated by teachers.
However, students will have the option of sitting a written exam at a later date.
Deputy Thomas Byrne says he's concerned that some parents have contacted teachers in the last few days to emphasise how hard their child has been working.
He says it places unfair pressure on teachers and they shouldn't be made to feel obliged to respond to such contact.