Cellulose-containing fabric is desized by treating with an enzyme hybrid having a catalytically active amino acid sequence of an enzyme such as a lipase or an amylase linked to an amino acid sequence containing a cellulose-binding domain. The enzyme amino acid sequence may be of an .alpha.-amylase obtainable from a species of Bacillus such as Bacillus licheniformis, or of a lipase obtainable from a species of Humicola, Candida, Pseudomonas or Bacillus. The cellulose-binding domain may be from a cellulase, a xylanase, a mannanase, an arabinofuranosidase, an acetylesterase or a chitinase. The enzyme hybrid is obtained from a transformed host cell containing an expression cassette having a DNA sequence encoding the enzyme hybrid. A desizing composition is formed containing the enzyme hybrid and a wetting agent.