A pocketed spring assembly comprises first and second sheets of fabric and a plurality of parallel rows of springs held in place with the sheets. Longitudinal seams joining the first and second sheets extend generally the same direction as the rows of springs. Pockets are formed along a strand of springs by aligned separating seams. At least one spring is positioned in each pocket. Each separating seam joins one of the sheets to itself and keeps the spring in its pocket. Ends of aligned separating seams are spaced from each other, thereby improving airflow between pockets. Openings between adjacent longitudinal seams further improve airflow.