Abedi was moved from HMP Frankland after the alleged attack, which was said at the time to have involved makeshift knives and cooking oil.
The Ministry of Justice previously said there would be a full, independent review into the incident, which prompted criticism from survivors and the families of victims of the bombing.
His older brother Salman Abedi killed 22 people and injured more than 1,000 by detonating a home-made device hidden in a rucksack as a concert by the singer Ariana Grande came to an end on 22 May 2017.