A supply of cushioning material for wrapping at least one object comprises a stack formed of a multitude of prefabricated sheets of three-dimensional cushioning material. The invention proposes that adjacent sheets are connected to each other by means of a releasable adhesive system, the adhesive system being designed such that the connection can be released without auxiliary means, i.e. without special heat exposure and without chemicals and without special tools simply by mechanical action, and non-destructively, i.e. without damaging the cushioning material.