Abstract: This connecting module, inserted between a printer and an enveloping machine, comprises a first zone for receiving documents, a second zone for receiving documents, a sheet outlet zone and an envelope outlet zone, first conveying means connecting the first receiving zone to the sheet outlet zone, second conveying means connecting the first receiving zone to the envelope outlet zone, and third conveying means connecting the second receiving zone to the envelope outlet zone, controllable routing means being located on a common inlet section of the first and second conveying means so as to select the path according to the type of document arriving in the receiving zone.