As said, I wasn’t sure how to handle it, but to me it also somehow made sense that you could seal off the inside. The floor slab is moist anyway, with the dehumidification inside (that was intentional, since paper was stored there, we don’t need to discuss the purpose of that :rolleyes it just drew in even more moisture). In my case, the floor slab was also unreinforced (rammed) concrete, from around 1910.
What you don’t see isn’t there, doesn’t really draw in moisture either, because the reinforcement would rot away in that case too (there is always so much/little moisture when the floor slab lies directly in the earth without a separating layer), only that in that case you can watch it happen.
So do you have your floor slab lying there completely bare now?