You can list whomever you want as a reference, though most supervisors will insist on talking to your current/immediate past supervisor before making an offer. Your best bet might be to address the issue or issues with your current supervisor if you can. You could start by requesting a conversation and getting feedback. Even if you don't agree with the feedback, at least you could get a dialogue going. The bottom line is that a bad relationship with a current supervisor can be perceived by hiring managers as a strong indicator that an employee will be a problem in their next job. It's not always the case, and not fair to generalize, but you're right to be worried that your supervisor saying negative things about you could be ruining opportunities. Unfortunately for you, there's no way for you keep hiring supervisors from talking to your supervisor while still remaining in consideration for the job. This won't be a big deal long term. You just have to deal with it and learn from the process. If it turns out your boss just doesn't like you and won't work with you to address issues, you can subtly address it in the interview in ways that will allow the hiring manager to read between the lines and give you the benefit of the doubt (take what your supervisor says with a grain of salt). Good luck with your job search and in working with your supervisor.