A 9.2 is a standard pen making drill bit size. It should work fine as its diameter is .3622. By subtracting .75 from 10.0mm equals 9.25 mm, or .3642. The next size is 9.3mm, which is .3661 inches which which is .0061 too big.
I have several 9.2 bits that I bought from the penmaking supply houses. Most likely from Arizona Silohuette or Bear Tooth Woods.
I agree with MRedburn, a 23/64 is too small.