The bears’ mother, Victoria, was euthanised due to her deteriorating health in May.
Their father Arktos shares an enclosure at the Highland Wildlife Park with another male bear called Walker.
Brodie’s move is due to take place in early December.
Darren McGarry, head of living collections at RZSS, said: “While we will miss Brodie while he’s on his holidays, it is great to be able to fully concentrate on the work needed in his habitat.
“His brother Hamish has been amazingly cared for by the team down at Yorkshire and we know they will look after Brodie with the same expertise.”
He added: “We can’t wait to see how they interact with each other when they are introduced in the future.”