I agree with RHN, but will go further and say this is NOT a good idea. You need to allow for misalignment between the two systems. The top bearing in the NSK system will probably have a compromised life in this scenario. There are lots of different coupling systems, and you can look at MSC for them.
A belt would probably be the best for this scenario, because you will probably have large vibrations of the trim router as compared to the NSK spindle. The belt can help isolate the vibrations, and will also do a good job with non-concentricity of the two systems.