If my job ask me to take another position/different shift & I turn it down can i receive unemployment?

My job is down sizing and some people have quit. I feel they may ask me to fill in those positions where they are short but it is not something I'm interested in doing. I don't want to work in a different department. I would like to know if I don't except this new position will I be able to file unemployment because I'm sure they will offer it to me and then tell me if I don't take it my services are no longer needed at the job.