A compound comprising an association of at least one polysaccharide adsorbed on a cellulosic material, said polysaccharide comprising at least two different monosaccharide units, forming first and second monosaccharide units, said second monosaccharide units being branched on a chain comprising at least said first monosaccharide units, at least some of the second monosaccharide units being non-cyclic and bearing aldehyde functions, said aldehyde functions possibly forming hemiacetal functions with hydroxy functions of the cellulosic material, said polysaccharide is also covalently bonded by one or more reactive molecules reacting with aldehyde functions of the polysaccharide.