The 37-year-old has made more appearances for the Red Devils than any other player and has in recent years signed a succession of one-year contracts.
Giggs’ current contract is set to expire in June, but Giggs is keen to keep on going.
“After Christmas I will go to [Sir Alex] Ferguson’s office and we’ll talk about my renewal,” Giggs told calciomercato.com
“I have a wonderful relationship with him. He’s an exceptional person. He is always the first to arrive in the morning and is always willing to listen.
“I have spoken to him for a few minutes about extending my contract for another year.
“I want to play again, I care for nothing more than playing for my team.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.