Have done this a few times over the years, more to give others some crowns.
I split a small piece of crown from one of my many year crowns last November.
Placed it in another area of my veg garden.
It was quite dormant at that time, a piece that was on the edge of the main root.
Worth digging a little if you can to see if that piece is rooting nicely, so the piece you take will have some of those roots.
It will need watering in well, but do not allow it to become waterlogged.
If you are not planting the new crown straight away, just wrap a damp cloth around it to keep it moist.
This years took nicely and has been producing good stems so far this year. I will not be cutting them this year to let the plant mature in its own right, so a good picking next year.