The paper deals with the issue of engineering change management (ECM). ECM has received much less attention in the literature than general change management. Moreover, due to their specifics (complexity and multifaceted nature), hitherto developed ECM models are difficult to implement in companies. The paper aims to develop a simplified, universal, and hence easily applicable model of ECM. We based our assumptions on a case study of a manufacturing company with low-volume production, representing a high-mix type, posing the following research question: how to improve the ECM process to make it simpler and more quickly adaptable in companies with the analyzed type of production when compared to the existing models? To answer this question, an exploratory qualitative study was conducted in late 2021/early 2022 using in-depth personal interviews. The research sample included 31 employees involved in ECM processes. Conventional qualitative content analysis was the primary technique for analyzing and interpreting the data. The study identified gaps and bottlenecks in the existing ECM model. On this basis, a proposal for a new ECM model was developed, distinguished by its simplicity and versatility (it can be implemented in companies operating in various industries). Particular emphasis was placed on ensuring the flow of information and circulation of technical documentation between the departments involved and clarifying the role of the change administrator. The paper sheds new light on how to implement engineering changes in organizations and has considerable application value.