A process is provided for producing a composite component having a first component element and a second component element, which are connected with one another by an adhesive connection. The process includes forming an adhesive cavity by applying thermally active plastic material to an adhesive connection side of the first component element and/or to an adhesive connection side of the second component element; arranging the first component element on the second component element, wherein a gap is formed between the adhesive connection side of the first component element and the adhesive connection side of the second component element, and supplying of heat in such a manner that the thermally active plastic material expands and forms a boundary in the gap between the first component element and the second one. The process further fills the formed adhesive cavity with an adhesive for the permanent connection of the first component element with the second component element.