In one embodiment, a preservation apparatus is described that includes a storage compartment. The storage compartment is configured to hold an organ or tissue and a preservation fluid. A cover assembly is configured to engage the storage compartment. The cover assembly includes a support element, wherein the support element together with the storage compartment define a storage chamber. The cover assembly also includes a lid and a gas permeable membrane disposed between the lid and the support element. The gas permeable membrane and the support element together define a perfusion chamber configured to hold preservation fluid and an organ or tissue during use.