There is provided a basket assembly for making a basket, as well as a blank for making the basket assembly. A support sheet is mounted along a bottom wall of a container portion of the basket, either inside or outside of the container, providing a multi-layered assembly. The innermost layer of the support sheet and the container portion define a cut-out portion corresponding to a handle for the basket, which is nested in the innermost layer of the multi-layered assembly. The handle portion has opposing ends which are mounted to the container and side edges which are separable from the innermost layer, allowing to lift the nested handle away from the bottom of the container and to draw it out to provide the basket with a handle. The gap appearing in the innermost layer is covered by the outer layer of the multi-layered assembly.