As has even said above, you're probrably hearing some 'studio magic' on the bass so emulating it exactly could be tough. If it were me, I'd try and get something similar to get the vibe, but not sweat copying it exactly. Some kind of blended distortion would suffice IMHO.
At an audition I'd be focusing on my playing (and showing the charming, erudite and stunningly good looking chap I am )...not so much on getting the exact tone.
Good luck - hope it goes well ! Do let us know how it goes.