The concept of convective drying of a moist porous material in the presence of micro-encapsulated phase change material is introduced in this study and then its favorable impact on drying efficiency is numerically investigated. In this regard, encapsulated PCM particles are dispersed inside the void part of porous medium while the moist sample is exposed to a compressible impinging slot jet. The transient evaporation process from a moist porous material exposed to a compressible air jet while PCM particles dispersing in water content of a porous sample is mathematically modeled and solved afterwards employing Finite Element Methods. A mathematical optimization technique is performed on the melting temperature of PCM to select a PCM appropriate to the thermal drying process. The numerical experiment in this work indicates that PCM facilitates the moisture removal process and dramatically reduces the water content in a typical convective drying. Investigating the transport mechanism, results show that PCM acts as a heat sink at the early stages of drying and then alternates to a heat source, releasing previously stored energy and internally heating the moist sample. According to the results, a 70.2% improvement in heat transfer enhancement is reported corresponding to 50% PCM volume fraction. The effects of PCM volume fraction, exit Reynolds number, and jet outlet temperature on PCM-equipped convective drying is considered.