I agree with unaluna

Though, just to share my experience:
My T and pdoc coordinate. My psychotherapist who did my psychological evaluation can/did talk to my GP.

I didn't like when my GP and psychotherapist coordinated with each other. I felt I had no privacy about anything. My psychotherapist read all about my IBS, hospital stays (for medical stuff, not psych stuff), etc and put that information in my psychological evaluation, even though it had no relevance. It made me very upset. I don't want them ever communicating with each other again.

My therapist and pdoc? I'm okay with that. They both respect my privacy and ASK me what I want to tell the other person. They don't share my medical history or anything I don't want them to. But if one or both of them didn't respect my privacy, then it would make me very upset.

So my advice? Ask what they specifically want to communicate to each other about so that you don't get upset