I wrap with 2 layers of saran and then vacuum pack. This stops the moisture migration. On the food/cooking forum, somebody mentioned to use a baggie without the tie. I will try this. When useing the Vac., in the freezer, You may have to periodically check to see if the package has been punctured. Other than that, I have not used wrapping paper since the vacuum sealer and do not intend to. This process is efficient and works very well. Simply, Wraping paper cannot seal as well as a vacuum seal and to Me, it is a lot less work.