Bruce claims Giggs would be wise to stay at Old Trafford and learn the ropes from Sir Alex Ferguson.
"Whatever he turns his hand to he'll be a success," he told talkSPORT. "I wouldn't be surprised if he wants to get into management.
"I think he'll join Sir Alex Ferguson's back-room staff and learn his craft there. I can see him giving it a crack and seeing where it takes him.
"He's someone who just adores the game. You saw when he came on [against Real Madrid] and played the last thirty minutes. He's 39 years old and was smashing into tackles. Anything he turns his hand to he'll be a success at."