My father works in software in a fairly high position, I'm the stutterer but my dad has had 0 issues with any stuttering co workers, especially as more chat (writing instead of speaking) features are focused on in the tech workplace, however video meetings are becoming more and more de facto. It also depends on severity, but to make sure you're vital you're going to need to make sure you can speak your ideas so that the greatest ideas can float to the top of the workflow, which may just be your own.