The specification of an Enterprise Architecture (EA) is a complex process to adapt a generic architecture or framework to a specific organization. For this, a conceptual model, a specification language and tools supporting the process, must be associated to the EA. In particular, the quality assurance of the process support tools is important to guarantee that the customized EA respects required global quality goals. The main goal of this work is to specify a quality model with quality characteristics and sub-characteristics, according to the ISO/IEC 25010 standard that must be present in EA process support tools. The feature analysis method, according to the DESMET methodology is used, with a documental-based review and direct observation, as a basis to specify a quality model for this type of tools. Enterprise architects, to justify the selection of convenient tools for the EA specification process, can use these results.