Sb9a Using Er32?

I was thinking of getting an ER32 collet chuck for my headstock MT3 taper. I have a snub nose taper fitting, since I understand SB9As have a weird MT3 length.

Here's what I'm looking to order but wanted to double check to see if this is the correct combo:

http://www.ctctools.biz/servlet/the-38/ER32-MT3-MK3-COLLET/Detail

http://www.ctctools.biz/er32-collet-set-19-pcs-a07/

much thanks!