Changing a 36 steering box for a 37

[36coupe]

I have a complete 36 steering box and steering wheel for my 36. I picked up a really nice 37 box that had the shaft cut off just above the box.
Can I take the 36 box off and install the 37 box leaving the 36 worm on the shaft?
I guess what I’m asking is the 36 worm and the 37 worm the same and the only change would be the selector? The Green bible shows different part numbers.
Thanks