Beckham will grace the pitch at Old Trafford once more next month when he takes part in a charity match which aims to raise funds for UNICEF.
The former England captain spent 11 years playing alongside Giggs in the United first team after coming through the club's famed youth academy.
The Welshman is now assistant to manager Louis van Gaal and Beckham believes it is only a matter of time before the former winger takes the top job at Old Trafford.
"I have always said that Giggsy has this streak running through him that you see in top managers," Beckham said.
"I saw it as a player
He is so determined and when you have got someone like that at a club like this, someone who is from this part of the world and knows so much about this club - it's so embedded into him - it means so much to fans, so I hope that at some point Giggsy does take over.
"It might not be for the next five or 10 years but at some point it would be amazing for the fans to have him.
"To have Giggsy sat on the line preparing himself to become a manager is exciting."
Source : PA
Source: PA