The federal government has been weighing up what to do with the Murugappan family as it faces mounting pressure to let them stay in Australia.

Grandmothers Against Detention of Refugee Children's Bendigo convenor Di O'Neil said she would be pleased when she saw the government take action.

"I will be really pleased to see it happen but I am yet to see anything happen for this family," she said.

"There has been ongoing confusion between government leaders and we've finally seen some backbenchers come forward and make their stance clear.

"But the power of the people seems to have won and the community is agonising that the government is hanging out to reunite the family and get them home to Biloela.

"We'll celebrate the family's release from detention as long as there's action following - this family needs solid decisions instead of temporary solutions which continue to leave them in limbo."

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The Tamil family's plight is back in the spotlight after four-year-old Tharnicaa was flown from Christmas Island to the mainland for medical treatment.

Tharnicaa's mother Priya is with her at Perth Children's Hospital but her father and older sister are still on Christmas Island.

It is understood Immigration Minister Alex Hawke will announce their release from detention in Canberra on Tuesday.

However, it is unclear whether he will announce their new visa status or just a process for them to follow in order to get a visa.

A spokesman for the minister said on Monday the decision was "imminent".

The Bendigo refugee activist group believes the family needs continued care to ensure they do not face ongoing issues.

"This family has been traumatised which started with a raid on their home three years ago," Ms O'Neil said.

"Since that time they've been in various situations and no doubt the children and the parents are suffering from trauma.

"The family needs to be back in Biloela to the community they feel safe in and with the community that obviously has their back."

Ms O'Neil hoped more people would look into the issues facing refugees in Australia and advocate for more family's once the Tamil's story is out of the spotlight.

"I hope awareness for refugees has grown," she said.

"Some people may be focusing on refugees simply because of this family.

"Once a refugee has a face to the community, usually attitudes change.

"We will wait and see what happens."

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Earlier on Monday, Deputy Prime Minister Michael McCormack said work was underway to bring Nades and Kopika, 6, to Perth.

"I understand the health authorities in WA also make these considerations as to whether the whole family gets reunited," he told reporters.

"But as I understand, there was work being done towards that."

Mr Murugappan and Kopika were still on Christmas Island as of Monday afternoon.

- with AAP

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