A thermoplastic elastomer composition (TPE composition) with an improved adhesion to rubber based on cross-linked diene rubber mixtures is disclosed. The rubbers are preferably sulphur-cross-linkable and selected from the group natural rubber (NR), isoprene rubber (IR), butadiene rubber (BR), styrene-butadiene rubber (SBR), chloroprene rubber (CR), acrylonitrile butadiene rubber (NBR), butyl rubber (IIR) or ethylene propylene diene rubber (EPDM). In addition, the use of the thermoplastic elastomer composition for producing a composite material with a rubber, as well as an article that includes a thermoplastic elastomer composition and a rubber are disclosed. Further, a process for producing a thermoplastic elastomer composition is also disclosed.