The invention relates to a hotmelt adhesive based on at least one ethylene and/or propylene/C4 to C20 α-olefin copolymer obtainable by metallocene-catalysed polymerization, on at least one tackifying resin, and on at least 0.1% to 15% by weight of a copolymer or terpolymer based on C2 to C5 olefins with (meth)acrylic esters of low molecular mass alkanols, the copolymer containing COOH groups or anhydride groups, and also, if desired, on wax and additives, and to its use for bonding finished substrate surfaces.