A heat exchange unit and a printing system containing the heat exchange unit, including a heat exchange region, a first print media transport path configured for transporting in operation a first print medium from a supply through the heat exchange, the heat exchange unit further containing a stationary heat exchange member, having a first side facing said first print media transport path and a second opposite side facing said second print media transport path, wherein, in operation, the second print medium is at an elevated temperature with respect to the first print medium and wherein, the first and second print medium have a heat exchange contact in the heat exchange region.