What is the best way to leave a job and get a new one when your supervisor doesn't like you?

I am working for a job that has a 1 year evaluation period after which my employer decides if they wish to keep me or not. I won't be able to handle my supervisor for much longer than that but I want to get a year of experience in as a manager at my job first. How do I apply for a new job without them wanting to contact my current supervisor who I know will opinionate a less than favorable assessment of my work although I am a hard worker and good at what I do? Will my future employer NEED to contact my supervisor or is there someone who knows the best way to handle a situation of this type? Thank you for your advise and God bless!