Yes, it can definitely happen out of session as well as in session, we do a lot of processing and communicating outside of session. In session T kind of suggests what would be good to work on, or nudges us or plants ideas, and we follow up with working on those ideas in between sessions.
for me in session I notice I do tune out (like you pick a spot, and focus inwards and listen) but it happens spontaneously not planned. Perhaps its more that in the middle of conversation with T one will start talking and I tune out from the external conversation to listen.