A soft transfer case for biological and chemical material is provided. The transfer case includes a film laminated, woven textile exterior layer as a pouch resembling an open cylinder. The cylinder is capable of being clamped at each end of the cylinder. A pouch shaped and single open end elastomeric bladder capable of containing biological and chemical material can be contained by the exterior layer. The bladder requires only one seam which is used to permanently seal the open end with the material contained therein. Upon pressurization of the bladder, the exterior layer expands and a restraining force is generated between the textile layer and the clamps.