Abstract: Cotton and cotton-containing fabrics are desized in strongly alkaline aqueous solution with an alkali metal hypochlorite by a process in which from 0.5 to 8.0 g/l of a tertiary hydroxyalkylamine which is soluble in aqueous alkaline solution, of an oxyethylated and/or oxypropylated ethylenediamine, of an oxyethylated polyethyleneimine, of malonic acid, of cyanuric acid, of a cyanuric acid derivative, of a urea derivative, of cyanoguanidine, of oxazolidone, of pyrrolidone, of N-methylpyrrolidone, of N-methylimidazole or of a mixture of these is added to the aqueous bath, as an activator for the hypochlorite. Activators for hypochlorite are used in the desizing of cotton and cotton-containing fabrics in strongly alkaline aqueous solutions.