The subject matter of the present disclosure constitutes agents for oxidative hair dyeing, containing from about 78-about 95 wt. % water, oxidation dye precursor(s), alkalizing agents, from about 0.1-about 2 wt. % anionic, zwitterionic or amphoteric tenside, from about 0.05-about 2 wt. % of a cross-linked copolymer from acrylic acid and non-ethoxylated esters of acrylic acid having linear C10-C30 monoalcohols, wherein only small quantities of, if any, linear, saturated alkanols having two or three hydroxy groups and 2 to 8 carbon atoms are contained in the alkyl group, also no saturated or unsaturated non-alkoxylated alkanols having a hydroxy group and from about 1 to about 50 carbon atoms in the alk(en)yl group, no saturated or unsaturated alkanecarboxylic acids with from about 1 to about 50 carbon atoms and no oxidants are included in the agent.