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Fulham slumped to their second successive defeat as Martyn Woolford's first-half goal earned Millwall the points on Saturday.
The Lions led on 12 minutes when Woolford slotted into an empty net after the Cottagers failed to cut out Ricardo Fuller's cross.
Fulham dominated for long spells but they failed to find a way past David Forde as the visitors hung on for a 1-0 victory.
Felix Magath admitted his players were 'too nice' after watching his side slip to another defeat.
And skipper Scott Parker has urged them to get nasty if they are to bounce back from relegation at the first attempt.
