The head of the FA, Adam Crozier, said Beckham may now be ready to play again in six weeks, instead of the original eight.
Beckham broke a metatarsal bone in his left foot during Manchester United's 3-2 Champions League win over Deportivo La Coruna on Wednesday.
But the update on his condition means the England captain may now be fit to face Sweden in England's first match of the World Cup, on 2 June.
After speaking to Manchester United, Crozier added that Beckham wouldn't play again for the club this season.
'Disappointed'
Beckham's dad Ted said: "He was very, very upset and he said he was in a lot of pain and that he was in plaster.
"He said he was more upset because of what games were coming up," he told GMTV.
The vicious tackle came after 16 minutes from Argentinean Pedro Duscher.
Sir Alex Ferguson said: "The game of football is about tackles and I think the player maybe had to go for it (the ball)."
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