In the article, the change in the linear dimensions of tissues is analysed by the closure of the elastane threads in the tissue system under the influence of wet processing. It is found that standard techniques cover changes in linear dimensions only in the direction of the base and utka. However, for clothing design, it is necessary to know the change in linear dimensions in arbitrary directions. The empirical models used to calculate these dimensions do not have the required accuracy. The article proposes a model for calculating the change in linear dimensions in an arbitrary direction based on the analysis of the geometry of the fabric and describing the process of tissue shrinkage under the influence of wet processing, which allows to obtain results with sufficient accuracy.