"I would like to think he's got a chance and you always keep the hope going," Ferguson said.
"One thing with David is he won't need a lot of time to get fit.
"It's a difficult one though because he's still got the pot on his leg.
"He will probably have a scan at the end of the week to look at it further, but it's difficult to say."
On Sunday, Beckham's father Ted said: "Everything is moving in the right direction.
"There is certainly some optimism from David that he can make the European final if United get
through.
"People have suggested that David is a quick healer but he
has never had a serious injury before.
"But steady progress is
now being made which is encouraging."
United were held to a 2-2 home draw by Leverkusen in the semi-final
first leg on Wednesday.
