In this paper we present a formal framework designed to facilitate interoperability between the Event-B specification language and the process algebra CSP. Our previous work used the theory of institutions to provide a mathematically sound framework for Event-B, and this enables interoperability with CSP, which has already been incorporated into the institutional framework. This paper outlines a comorphism relationship between the institutions for Event-B and CSP, leveraging existing tool-chains to facilitate verification. We compare our work to the combined formalism Event-B CSP and use a supporting example to illustrate the benefits of our approach.