The present invention includes processes and resulting structures for producing moisture absorbing desiccant entrained polymers. A polymer is caused to assume a molten state, typically by applying heat and melting the polymer. To achieve certain results in the hardened end product, such as rigidity and durability, the polymer normally acts as a moisture barrier in a solidified state, both before and after melting. A desiccating agent is blended into the polymer so that the desiccating agent is distributed within the polymer. A channeling agent is also blended into the polymer so that it is distributed within the polymer. Together, the polymer, desiccating agent and channeling agent create a blended mixture. The mixture is solidified so that the channeling agent forms passages in the mixture through which moisture is communicable to desiccating agent that is entrained within the mixture. The solidified mixture may be used to form plug type inserts and liners for closed containers, or it may be used for producing laminated sheeting employed as package wrap.