I agree with ruh roh that if your T is generally working with fixed session times then it just might not be that easy to find a time every week that would fit with your work schedule. I have standing appointments 4 times week (psychoanalysis) and if on some day I can't come at my usual time then usually he just doesn't have any alternative time to offer me because he is just booked with other standing appointments.

If that's the only way it works with your working schedule then it makes sense to try but with the way your T practices it might just not work out very easily.