This paper presents a new 2D water transport model considering capillary suction to predict the water content evolution in the concrete porosity. The basic formulations of the model are illustrated, and a switching algorithm is introduced to simulated wet-drying effects. Two specific absorption tests are studied to validate this model. The first test conducted under room temperature allows to observe that capillary effects play an important role in the concrete material sorptivity and this phenomenon was well captured by the numerical model. The second test conducted under different temperatures highlight that temperature has significant effect on the capillary suction process and it has been considered in the model as an important input parameter.