Although there is likely a neurological aspect of stuttering, there can also be psychological aspects. If psychological factors make your stutter worse, it follows that resolving those psychological issues will improve your speech, and there may be something beneath your awareness that ideally should be resolved. Having said that, I wouldn't necessarily go into therapy specifically to reduce stuttering, but to improve mental health overall or deal with whatever issues need to be dealt with. If you're already working on yourself and happen to find a psychological factor or trigger that makes your stutter worse, then you've hit a gold mine (possibly an unpleasant one) because resolving issues around that will improve both your mental health and your speech. The neurology of stuttering might never be fixed, but psychological patterns can be changed.