Cap exempt to cap exempt transfer - H1B Visa

I am working for a not for profit organization and recently got my Cap exempt H1B approved. I am planning to switch employers and move to another cap exempt employer, what is the process of transfer ?

It is exactly same. In general, there is no concept of cap in the context of cap exempt, so it does not really matter…There is no concept of using transfer and using of cap for transfer…so all your new employer need to do is submit a new application and also submit your copy of current H1B to indicate your current status…