It's a cliché but a true one: It all starts in the fingers. Check what you change technique-wise first to get closer to his sound (Where does he pluck - closer to the bridge or the fretboard? How much attack does he play with, and how hard does it look like he is playing otherwise? How does he mute his strings?). Then, look at equipment. I'm not familiar with that bassist so unfortunately I can't help on that, but if you can find out what equipment he is using, you should get some hints...
