Process for producing a composite component comprising a) a carrier made of a thermoplastic composition, and b) at least one polyurethane layer in direct contact with the carrier, comprising the steps of (i) injecting a melt of the thermoplastic composition into a mould cavity followed by cooling to form the carrier, wherein the thermoplastic composition contains A) at least 95.0% by weight of an aromatic polycarbonate having a phenolic OH content of 230 ppm to 1500 ppm and B) 0% to 5.0% by weight of at least one polymer additive, (ii) enlarging the cavity of the mould and thus producing a gap or introducing the carrier into a second cavity of the mould which is larger than the first cavity in terms of its hollow mould dimensions, thus producing a gap, (iii) injecting a reactive polyurethane raw material mixture containing - at least one polyisocyanate component, - at least one polyfunctional H-active compound and - optionally at least one polyurethane additive and/or processing auxiliary, into the gap between the carrier and the mould surface, wherein the polyurethane raw material mixture undergoes polymerization to afford a compact polyurethane layer or to afford a polyurethane foam layer in contact with the surface of the carrier, (iv) demoulding the composite component from the mould cavity. a) a carrier made of a thermoplastic composition, and b) at least one polyurethane layer in direct contact with the carrier, comprising the steps of (i) injecting a melt of the thermoplastic composition into a mould cavity followed by cooling to form the carrier, wherein the thermoplastic composition contains A) at least 95.0% by weight of an aromatic polycarbonate having a phenolic OH content of 230 ppm to 1500 ppm and B) 0% to 5.0% by weight of at least one polymer additive, (ii) enlarging the cavity of the mould and thus producing a gap or introducing the carrier into a second cavity of the mould which is larger than the first cavity in terms of its hollow mould dimensions, thus producing a gap, (iii) injecting a reactive polyurethane raw material mixture containing - at least one polyisocyanate component, - at least one polyfunctional H-active compound and - optionally at least one polyurethane additive and/or processing auxiliary, into the gap between the carrier and the mould surface, wherein the polyurethane raw material mixture undergoes polymerization to afford a compact polyurethane layer or to afford a polyurethane foam layer in contact with the surface of the carrier, (iv) demoulding the composite component from the mould cavity. (i) injecting a melt of the thermoplastic composition into a mould cavity followed by cooling to form the carrier, wherein the thermoplastic composition contains A) at least 95.0% by weight of an aromatic polycarbonate having a phenolic OH content of 230 ppm to 1500 ppm and B) 0% to 5.0% by weight of at least one polymer additive, A) at least 95.0% by weight of an aromatic polycarbonate having a phenolic OH content of 230 ppm to 1500 ppm and B) 0% to 5.0% by weight of at least one polymer additive, (ii) enlarging the cavity of the mould and thus producing a gap or introducing the carrier into a second cavity of the mould which is larger than the first cavity in terms of its hollow mould dimensions, thus producing a gap, (iii) injecting a reactive polyurethane raw material mixture containing - at least one polyisocyanate component, - at least one polyfunctional H-active compound and - optionally at least one polyurethane additive and/or processing auxiliary, into the gap between the carrier and the mould surface, wherein the polyurethane raw material mixture undergoes polymerization to afford a compact polyurethane layer or to afford a polyurethane foam layer in contact with the surface of the carrier, - at least one polyisocyanate component, - at least one polyfunctional H-active compound and - optionally at least one polyurethane additive and/or processing auxiliary, (iv) demoulding the composite component from the mould cavity.