Research faculty I would like to work with not in my department

I'm currently in the process of applying to graduate schools for admission into a graduate program in Computer Science. However, in a particular university that I would like to apply to, labs dealing with the specialization that I would like to work with belong to another department in the university and do not seem to involve faculty in the Computer Science department.

Now, when I write my Statement of Purpose for an admission into the Computer Science department, would it be considerate for me to mention my interest in working with these faculty outside the Computer Science department or must I restrict myself to those faculty and research labs under the purview of the Computer Science department in that university?

Is it possible even for me to be denied an admission if these faculty I'd like to work with and mention about in my statement do not belong to the Computer Science department?