To DAC or not to DAC

I have an Alesis Masterlink 9600 CD recorder (reviewed this month in Stereophile!), and I'm wondering if I should run this componet through my MSB Link DAC 3? I wonder if its redundant and un-nessesary since the Masterlink already has 24 bit/128 oversampling. I wonder if running data through two DAC's will improve playback sound quality, decrease the quality or simply do nothing?

P.S-

The MSB Link DAC does have the upsampling option installed.