Any parents who stutter have fluent children?

Any parents who stutter have fluent children? I just had my first child, a healthy baby boy, and I was wondering if he is more than likely going to inherit my stutter. I am fairly sure I inherited my stutter from my father who had a childhood stutter. Knowing how hard my stutter has made my life I have sworn to do everything to help me overcome/ lessen his if he develops a stutter.