Sterile bags 112 suitable for transporting specimens such as medical samples, formed of a pocket 118 for receiving a container containing a specimen and a closure 120 for closing the pocket 118. A liner of absorbent material 114 lines at least part of both opposed inner surfaces of the pocket, at the closed end 134 of the pocket to absorb any spills or leaks. The absorbent 114 may be a single folded piece or two separate pieces of material. A kit comprises a sterile bag including tamper-evident features, being packaged within a sterile environment. The bags may be inserted into a sachet before packs of sachets are simultaneously sterilised by gamma radiation to sterilise the bags and the environment of the sachet surrounding them. A method of forming bags involves advancing a web of liquid impervious material; depositing sheets of absorbent material at intervals on the web of liquid impervious material; folding the web of liquid impervious material along its length, so as to provide two opposing surfaces sandwiching the sheets between them.