Many companies start a journey towards becoming more digital, seeking to improve productivity, flexibility, resource efficiency, and safety. However, some are looking for guidelines on how to organize themselves to reach these goals. Assuming that digital maturity goes beyond technology, requiring a transformation in business, this paper explores the content of existing digital maturity models, identifying practices and necessary capabilities for increasing digitalization towards more sustainable processes. Qualitative analysis of 21 digital maturity models and an assessment within eight Swedish companies allowed to identify their current-state, andthat digitalization implementation needs to be supported by specific organizational capabilities.