A multilayer pouch with heat-shrinkable layer is described. The pouch comprises a first wall; a second wall; a perimeter comprising a first edge and a second edge opposing the first edge; and a product space positioned between the first wall, the second wall, and the perimeter. The pouch is configured to fully enclose the product space. The first wall comprises a first wall first layer having a machine direction shrinkage value of greater than 5% shrink at 90° C., a first wall second layer having a machine direction Gurley stiffness force of at least 800 mgf and a machine direction shrinkage value at 90° C. of less than the machine direction shrinkage value of the first wall first layer at 90° C., a first wall pattern connection, and a first wall air inlet. The first wall first layer is interior the first wall second layer. Various embodiments of the pouch are also described.