Tokenisation denotes one of the most successful implementations of blockchain that concretes its benefits into practice, also in the public sector, where it can help to reverse the declining citizen trust in governments. Process Tokenisation is the possibility of adopting blockchain as infrastructure for a business process, measured by its level of “Tokenisability”. Going towards a Process Tokenisation Model for the Public Sector, this position paper presents the context in which process tokenisation is necessary for the public sector and draws on Process Virtualisation Theory to propose constructs to help a public organisation identify the most suitable business process for tokenisation. Also, a European Blockchain Service Infrastructure use case description evaluates the model. As a result, the Process Tokenisation Model for the Public Sector demonstrated valuable, foreseeing sustainable potential benefits.