I think a conversation about your fear of appearing "overly attached" would be a good place to start.

I tell my therapist I love him, I tell him I miss him between sessions, I tell him moments when I feel deeply connected to him, I just talk to him about all my feelings towards him in detail. But the reason I can do that is because I trust him not to freak out about my attachment to him. There has had to be discussion about that. I had to know he was open to all of my feelings. It's a good conversation to have in therapy.