What I'd say he means, he would tell you if it's too much or you are crossing boundaries. However, it IS good you are making your own, with attachment issues, that is very helpful. I speak from experience.

Mine has unlimited access to him in any form BUT he wont always answer... and he never answers on weekends, holidays or evenings (unless its related to my evening session) and I limit myself the best I can because I can't stand being ignored and because I need to create my own boundaries for my sanity. attachment is bad enough without being sucked in too much.

Sounds like you and your T are doing good with this. I get the need to want to reach out more though... but it's good you are able to have the strength to fight the urge.