The industrialization of construction systems previously carried out using traditional methods, enabled by the development of new materials and the incorporation of technological advancements, represents an opportunity to accelerate the construction sector’s transition toward economic, social, and environmental sustainability across all phases of a building’s life cycle. Level(s) is the EU’s common framework, developed by the European Commission, which provides a set of core indicators and common parameters for measuring the sustainability performance of buildings throughout their life cycle. It allows for the measurement and reporting of a building’s environmental performance using indicators as essential tools to evaluate impacts at various levels. This study addresses the underrepresentation of the value of industrialized construction in sustainability assessments, identifying gaps in existing indicators within the Level(s) framework. It analyses the relationship between current indicators and the economic, social, and environmental impacts of industrialized construction. This leads to a classification of Level(s) indicators according to the three dimensions of sustainability and the life cycle phases established by ISO 21930:2007. The results highlight areas where industrialized construction could be better represented. The study explores the possibility of developing new core indicators within the Level(s) framework to more accurately reflect the benefits of industrialized construction. This would facilitate more informed decision-making in line with new construction methods, promote a holistic view of sustainability, and encourage the adoption of construction practices aligned with the current challenges of the sector.