AI-FSM is an annex to be applied together with a traditional FSM. It encompasses the systematic steps, actions, and technical considerations intending to extend conventional FSM for developing safety-critical systems that integrate AI. The proposed approach begins by outlining a safety lifecycle for safety-critical systems incorporating AI, based on the traditionally adopted V-model lifecycle. This encompasses essential phases associated with AI integration that require careful attention. AI-FSM is under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) license. The research leading to these results has received funding from the European Union’s Horizon Europe Programme under the SAFEXPLAIN Project (www.safexplain.eu), grant agreement num. 101069595.