Giggs is now the only player who have won nine top-flight titles, one more than Liverpool legends Alan Hansen and Phil Neal.
If Manchester United wins the FA Cup final against Chelsea he will be level with Neal on 17 winner’s medals.
Beckham told The Sun: “When Giggsy wins a medal he just starts thinking about trying to win the next one.
“As a United fan I would love him to go above Phil Neal.”
He continued: “That is what is so good about Sir Alex. He makes you move on. As soon as you have won a medal he makes you want more.
“That is what he instilled in me and the rest of the young players.
“You can really see it in Giggsy, he wants to win more and more every time he plays.”
Becks added: “I hope he does end up as the most decorated player in England. He is not just a great player, he’s a great person.
“People wrote him off a few years back but he proved them wrong.”