The apparatus for winding at least one web (1), on a winding roll (2), comprises at least a first roll (3), a second roll (4) and a third roll (5) parallel to one another and to said winding roll (2), said apparatus having a nominal winding position in which: said web (1) passes at least between said third roll (5) and said winding roll (2), and wherein in said nominal winding position, said half-plane delimited by the axis of said third roll (5) and comprising the axis of said winding roll (2) is substaintially horizontal.