Exactly this

This is part of what happens often in this type of relationship, they are expecting it and prepared for it to happen.... I'm sure your T is well aware of how often you think of him, or has a good idea about it... as long as you keep things professional, I don't think it will bother him.... but it also doesn't mean you need to tell him like "I thought of you about 500x today" ---

I figure as long as I give my T respect and give him his space outside our sessions, we will be fine.