Immigration Minister Peter Dutton has found no reason to release from immigration detention an Iranian student who was stopped from attending school and separated from her husband.

Mr Dutton reviewed the case of Brisbane high school student Mojgan Shamsalipoor after the 21-year-old was transferred from detention in Brisbane to Darwin.

She had been living with her Australian resident husband Milad Jafari in Brisbane before being taken back into immigration detention.

Her transfer to Darwin sparked outcry from the school community and generated protests in Brisbane.

"The Minister has looked at the case and considers a thorough assessment of her claim to be a refugee was carried out by the Department of Immigration and Border Protection and she was found not to engage Australia's protection obligations," Mr Dutton's office said in a statement.

"Individuals who have exhausted all avenues to remain in Australia are expected to depart."

The Minister's spokesperson said Ms Shamsalipoor's case had already been extensively considered.

"Ms Shamsalipoor is an illegal maritime arrival who arrived in 2012, was placed in community detention and lodged a protection visa application," they said.

"That application was refused late in 2012 and that decision was affirmed by the Refugee Review Tribunal in 2013. A judicial review in the Federal Circuit Court was also unsuccessful."

Ms Shamsalipoor's teachers and supporters are funding further legal efforts to allow her to stay in Australia.

As of March, there were 6,834 Iranian asylum seekers living in Australia, several hundred of whom have been rejected as refugees.