Maniacquilter2 I live in an apt. too and for anything bigger than crib size, I tape to the outside of the block wall surrounding the dumpsters. Works for me but does tend to attract the curious and create a flood of clothing repair requests which I politely decline. Not trying to highjack your question thread mess, so if your question is quilt specific make a trial square of the exact fabrics and see what you think. If it is fleece in general I suspect yes but only if it is not too stretchy.