BG France A62L Universal Swab

does what is says. It's very absorbent too

It is the same material as in the BG soprano saxophone pull-through swab, but in a form of a large square (very large indeed!). It greatly absorbs the moisture, it is smooth and delicate to the instrument and it lasts for very long, it doesn't fray at all. I'm using it both with my tenor and soprano sax, it is large enough to do the job on both of them and still significant parts of it are unused.