Sinkholes that are often formed over shallow mining workings constitute a significant threat to buildings, infrastructure and – most of all – to the residents. These deformations often occur after a long time following the completion of mining works. A considerable number of sinkholes are formed above shallow headings due to the loss of bearing capacity of old wooden supports. Because of the above, the problem of predicting the formation of sinkholes gains significance. This paper presents the assumptions of Strzałkowski’s method of predicting discontinuous surface deformations (sinkholes). The deterministic model reflects the essence of the mechanism of destruction of the rock mass surrounding the void. The presented study case – another example of using the method for providing an ex post prognosis indicates its practical usability. The computer programme used in this paper is helpful to laborious calculations.