Background. The aging process affects all systems of the human body, and the observed increase in inflammatory components affecting the immune system in old age can lead to the development of age-associated diseases and systemic inflammation. Results. We propose a small clock model SImAge using a limited number of immunological biomarkers. To solve the problem of regressing chronological age from cytokine data, we first use a baseline Elastic Net model, gradient-boosted decision trees models, and several deep neural network architectures. On the full dataset for 46 immunological parameters, LightGBM, DANet, and TabNet models showed the best results. Dimensionality reduction of these 3 models with SHAP values revealed the 10 most age-associated immunological parameters, which formed the basis of the SImAge small immunological clock. The best result of the SImAge model has mean absolute error of 6.28 years, it was shown by the DANet deep neural network model. Explicable artificial intelligence methods were used to explain the model solution for each individual participant. Conclusions. We proposed an approach to construct a small model of immunological age, SImAge, using the DANet deep neural network model, which showed the smallest error on the 10 immunological parameters. The resulting model shows the highest result among all published studies on immunological profiles. Since gradient-boosted decision trees and neural networks show similar results in this case, we can consider parity between these types of models for immunological profiles.