Current practices in the textile industry significantly contribute to environmental and social issues. Textile-forms have potential to support the transition towards a more sustainable system, but woven textile-forms are currently rare due to most looms being designed to solely create flat sheets of fabric. The possibilities for woven textile-forms, if the fabric could be shaped directly on the loom, have therefore been left unexplored. This project proposes a way to change the weaving process and the loom to enable the creation of 3D and non-rectangular 2D fabrics. An add-on is introduced that can provide standard looms with the required functionalities, which was validated with a functional prototype for a Magic Dobby shaft loom. The assortment of 3D and non-rectangular 2D fabric samples created with use of the add-on prototype show the potential of the proposed method and tool for creating textile products while requiring less post-processing and eliminating waste.