A soft storage bin made from flexible material and having a bottom, two first sidewalls, two second sidewalls, and a top opening. A hard full-wall board is embedded in each of the two first sidewalls and at least one set of two hard half-wall boards is embedded in at least one of the second sidewalls. The two half-wall boards are separated from each other by a folding line. A hard bottom board is seated within the interior of the body of the drawer and is supported by the bottom. Each drawer can be collapsed by moving the bottom board away from the bottom to allow the second sidewalls to be folded inward. Preferably, two half-wall boards are embedded in each second sidewall. A full-wall pocket is provided each first sidewall to receive the full-wall board and each second sidewall is provided two half-wall pockets to receive each half-wall board.