A method of producing shrink sleeve labels comprises: unwinding a feed reel of heat-shrink film; separating at least one band of heat-shrink film from the feed reel; feeding the band of heat-shrink film to a formation spindle; winding the band of heat-shrink film around the formation spindle, there being provided an overlap region between a first longitudinal end of the band of heat-shrink film in contact with the formation spindle and the second longitudinal end of the band of heat-shrink film, transferring the sleeve label to a container to be labeled; interposing a layer of solvent, at the overlap region, between at least one portion of the first longitudinal end and at least one portion of the second longitudinal end, the layer of solvent having a thickness comprised between 0.002 mm and 0.09 mm.