A film winding system (1) for a film stretching unit (110) comprises a film entry area (3) through which a film web (2) to be wound can be fed to the film winding system (1). A first winding station (4) is configured in a winding position to wind the film web (2) into a film bale (5). A contact roller (6) and a measuring roller (8) are provided, the contact roller (6) being arranged adjacent to the first winding station (4) in the winding position and being configured to guide the film web (2) to the first winding station (4). The measuring roller (8) is arranged before the contact roller (6) in the movement direction of the film web (2) and is configured to guide the film web (2) to the contact roller (6). A first adjustment device (10) is provided and configured to move the measuring roller (8) relative to the contact roller (6) along a travel path in such a way that a degree of wrapping over which the film web (2) covers the contact roller (6) can be varied.