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In this article we propose that organizational virtuality can be considered as a set of external as well as internal attributes. We focus on the attributes of internal virtuality, identify their possible dimensions, and refer to those as degrees of freedom. First we consider, in general terms, external and internal aspects of virtuality. Next we discuss organizational structures and introduce possible dimensions of virtuality that include the typology of the professional competencies. The dimensions of virtuality we introduce allow us to construct a multidimensional space of organizational virtuality. By means of this space we are able to convey the different degrees of organizational virtuality and offer some examples. In the final section of the article we test our constructs on real organizations and show a number of results concerning our measures of organizational virtuality.