"We still have Dimitar Berbatov, Carlos Tevez and Cristiano Ronaldo fit. But we will have to call on some young players."
Ferdinand has been sidelined with a back problem since the Club World Cup tournament in Japan last month, while Evra damaged his foot in the 3-0 win over Chelsea on 11 January.
Brown has not featured for United since 25 October because of an ankle problem, Rooney suffered a hamstring injury in the 1-0 win against Wigan and was ruled out for three weeks and Park also has a hamstring problem.
Despite the injury crisis Ferguson has ruled out the possibility of bringing in any new faces during the January window, while he also said the amount of games clubs face at this time of year does not help the situation.
"I do have options," said the Scot. "Hopefully Gary Neville will be OK, then I can play Darren Fletcher at right-back, so with Nemanja Vidic and John O'Shea we would have an experienced back four.
"Alternatively, if we thought Richard Eckersley or Fabio could be one of the full-backs Fletcher can play in midfield."
He continued: "We are not the best position because there are a lot of games in January.
"At this time of year players often carry little strains, which eventually become injuries that force them to miss games.
"That is why managers for years have pursued the hope they will have a winter break. Unfortunately, it is not to be."
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