Wow. You really leave one wondering. Morphology is the study of the form or structure of anything. conversion is change in character, form, or function. So really could conversion be a morphological device, or would it be the other way around. Morphology would be a means in which to study, assess, explain, etc. that change. And is this with regard to living organisms? Because you do know that morphology could also refer to linguisitics. As you can see, we do need more information about your purpose or intent.
Could you define your terms or point your readers to a link or two? Also, could you phrase your question more clearly? What is it you want to know?