The invention relates to a method in sequential winding stations which are in a production line processing the web at successive stages. In the method the paper web issuing from a paper machine (PK) is reeled in a reel-up (KR1) around a reel spool (T1) to form a reel, the paper web is unwound in an unwind (AR) from the reel to the finishing machine (JK) for paper, and the paper web passed through the finishing machine (JK) for paper is reeled in a reel-up (KR2) around a reel spool (T2) to form a reel. At least the reel spools (T1) used in the area between the reel-up (KR1) of the paper machine (PK) and an unwind thereafter, have different dimensions, advantageously larger diameters, than the reel spools (T2) used later in the production line.