This paper introduces an innovative robotic solution to autonomously plan stitching paths for two fabric layers. The developed system is inspired by the conventional manufacturing process and aims at assisting the human effort while ensuring high-quality results. Extensive experiments reveal comparable performance to skilled human operators in terms of path accuracy and stitching quality, accommodating various fabric types and patterns. This research advances robotic fabric processing offering a modular and flexible solution. It holds promise for the textile industry and precision-dependent applications, simplifying automation and enhancing efficiency.