How can I improve my stutter?

How can I improve my stutter? I feel I have anxiety but it’s definitely improving. I never once stutter or get speech blocks speaking to people I’m comfortable with but when ever I’m at work I always feel nervous to speak and I struggle to make conversation. I’m nervous to speak up in a group of people. I feel this can definitely get fixed because it’s not that severe. Im thinking of going back on a beta blocker, I was on 10mg of Propranolol but I only felt the affect for 30mins-1 hour