Moisture and liquid transport through textile fabrics is one of the critical factors affecting the physiological comfort of the individual, particularly for sportswear, underwear, workwear, and protective clothing. Wettability plays an important role in determining the comfort and moisture transport of a fabric. The objective of this work is to study the influence of the texture of woven fabrics on their wetting behavior or ability. To do this, the construction parameters of the fabrics are varied and the wetting characterization was studied using the capillary rise method. In this context, an experimental study of the vertical wetting properties of double-sided (by weft) fabrics is investigated. The influence of the characteristics of double-sided fabrics (composition of each face, Picking and weave patterns) on the capillary rise, by determining the kinetics of the rise and the heights reached at equilibrium, is studied and analyzed. A comparison with the wetting behavior of a simple woven structure having the same characteristics is also undertaken in this work. It has been found that the kinetics of the capillary rise of the wetting liquid is inversely proportional to the hydrophilicity of the fibers constituting the textile fabric. The capillary rise and the maximum height reached at equilibrium are strongly influenced by the structural parameters of the fabrics, namely the picking and the weave patterns. The composition of the wetting liquid has a significant influence on capillary rise through woven fabrics: the addition of electrolyte (NaCl) leads to a reduction in the maximum height reached at equilibrium and accelerates capillary rise.