Crossbench senator Derryn Hinch has used parliamentary privilege to claim a Brisbane primary school covered for one of its teachers after he was convicted of sexually abusing a student for several years.

Senator Hinch said the Christian school gave the year two teacher long service leave and allowed parents and students to continue believing he was on leave, even while he was behind bars.

Senator Derryn Hinch used parliamentary privilege to name the teacher. Credit:Jason South

AAP has decided not to name the school or the teacher.

Senator Hinch told Parliament on Tuesday night the school did have the teacher's licence suspended after he groomed the young boy and sexually abused him for several years before being charged in 2015.