i'd go along with the suggestions to try playing without the thumb pressing at all to develop a slightly different technique that will have you using the thumb to squeeze the neck less
coming from many years on 6-string guitar with a self-taught technique, my natural move is to wrap my thumb over the top of the neck like one would do when bending the heck out of guitar strings

--so i've consciously attempted to get my thumb back behind the neck, especially with my 5-string--and it's actually less trouble adjusting than i'd thought
good luck