It's not a big problem. You just need to readjust your targets. Be as obsessive about using techniques for achieving a fluid, relaxed speech instead. Let your brain buzz you with suggestions like: should I start by stretching out this word? Or maybe a silent hum to keep my larynx open? Have I paused and taken a breath? What's the natural melody in this sentence I'm about to say? Are my hands moving in rhythm with my speech? Etc. Obsess about these things and you will forget to stutter as mind will not have a clear target for programming in a speech block.