Hmmm…since to me it's not really the bass that stands out on that track, might it be a safe guess that the OP doesn't listen to much music with what we call "walking" bass? The easiest suggestion would be to just delve further into Miles Davis's catalog. He employed unbelievable bassists; Paul Chambers is on "Freddie Freeloader", but if you find tracks with Ron Carter or Percy Heath, try those also.
I'm gonna suggest another fine record by a trumpeter that might be what the OP is looking for:
Clifford Brown and Max Roach
Maybe sample tunes like "Delilah", "Joy Spring" or "Jordu"; they represent some of bassist George Morrow's best work.