Process for the continuous one-bath dyeing of pile fabrics made of acrylic fibres in the pile with a cotton base fabric by the pad-steam process with basic and substantive dyestuffs, characterized in that salts of alkyl sulphates of the general formula R-O-SO3(-)M(+) in which R represents a straight-chain or branched alkyl radical with 10-16 carbon atoms and M represents an alkali metal, alkaline earth metal, ammonium, alkylammonium or alkanolammonium ion, are used as auxiliaries in the dyebath.