The biomimetic CCS strategy is based on the enhancement of CO2 absorption rate into aqueous solutions by the enzyme carbonic anhydrase (CA). Immobilized CA on fine dispersed solids promotes the heterogeneous biocatalysis close to the gas-liquid interface and the enhancement of CO2 absorption rate. In this work a theoretical model of a slurry absorption unit for the biomimetic CO2 capture in K2CO3 solutions was developed and solved using the commercial software package Comsol Multiphysics®. The staged bubble column (SBC) configuration was selected to capture CO2 in aqueous slurry containing immobilized CA under counter-current gas-liquid flow. The theoretical framework included: the 'tanks-in-series' model to describe the unit; the two films theory to describe the absorption rate at the gas-liquid interface; the pseudo-homogeneous approach and a reversible Michaelis and Menten kinetics to model CO2 conversion by the slurry biocatalyst. The simulations provided the CO2 capture rate and the CO2 concentration profiles in the liquid boundary layer. Simulation results showed that the CO2 capture rate poorly increased when dissolved CA was used within the solubility limit (≈100 mg/L). Remarkably, about three fold enhancement of the CO2 absorption rate with respect to pure alkaline solvent when absorption in the presence of CA immobilized on fine particles was simulated.