A pocketed spring assembly comprises a plurality of parallel strings of individually pocketed springs. A dimensionally stabilizing substrate is secured to at least some of the strings on one of the top and bottom surfaces of the strings. A scrim sheet is secured to at least some of the strings on an opposed surface of the strings to maintain the positions of the strings. The dimensionally stabilizing substrate is laterally rigid enough to maintain length and width dimensions of the coil spring assembly. However, the dimensionally stabilizing substrate is flexible enough to allow the pocketed spring assembly to be roll packed for shipping.