The right-wing extremist, who killed 77 people in bomb and gun attacks two years ago, wants to study political science, and prison and university officials say he could do his studies in his cell if accepted by the school.
"In Norway, and I'm proud of this, we have a system where inmates, in general, can apply to study at universities, most of them from their own cell, so it will be distance learning," said Ole Petter Ottersen, the rector of the University of Oslo. "This is a principle that is put in place to help the inmate get back to society."
Others, including Education Minister Kristin Halvorsen, have said Breivik is a special case and shouldn't enjoy the same rights as other prisoners.
The self-styled anti-Muslim militant surrendered to police on July 22, 2011, after setting off a bomb outside the government headquarters in Oslo and opening fire at a summer camp for young Labor Party activists on Utoya island.
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Eight people died in the bombing and 69, mostly teenagers, were killed on the island. Breivik showed no remorse for his actions, calling his victims traitors for supporting a multicultural society.
Breivik's defense lawyers were startled by her comments, saying there is no legal basis to deny him the education rights that other inmates enjoy.
They also criticized her assumption that Breivik, 34, will never be released from prison.
"That is not up to politicians to decide," said Tord Jordet, who is part of Breivik's legal defense team.
After that a court can extend his sentence if it considers him a danger to society.
He is being kept away from other inmates at Ila Prison for security reasons, and has access to newspapers, TV and radio but no Internet connection.
His university application is expected to be processed this month.