Gibson's online diagrams for the modern passive LP Bass aren't schematics and don't show pot or capacitor values. Most post-1973 Les Paul guitars use 300K linear volume pots, which you can buy direct from the Gibson store and elsewhere.
According to Cadfael's wiring diagrams, the 1997-2006 passive LP Bass used 500K pots for all. Those used the same TB-Plus pckups as in your bass. But he shows the modern (1987 and later) T-Bird (also TB-Plus) as having 300K linear volume pots, and likewise with the recent passive LP Standard Oversized Bass. Caps are .047uF in all cases.