Nowadays one of the possibilities to improve energy efficiency is the use of building elements with low air permeability, for example, sandwich panels with steel sheeting. However, these panels have one important disadvantage – a relatively small load-bearing capacity. This can be prevented by reinforcing the panel with antiseptized birch plywood ribs. For wood-based materials prediction of hygrothermal performance is important to avoid rot. Currently the methodology of ISO 13788:2012 is widely used assuming that moisture flux passes through the building envelope of any material. This assumption is not completely accurate with regard to a closed structure where no penetration of ambient humidity is possible. Therefore, in order to predict the distribution of moisture in such structure with the surfaces exposed to different temperatures and to assess the hazards of rot for plywood ribs, a methodology for closed building envelope is presented. To provide insight into expected results according to both methodologies, estimation for individual case with constant environmental conditions is given. According to the methodology for the closed building envelope no free water will occur. Therefore, it is believable that also no rot will be observed. This is contrary to the assessment according to the methodology of ISO 13788:2012, which predicts condensation.