If the oil leakage is found on it, replace the steering damper with a new one (see Steering Damper Removal/ Installation in the Steering chapter).

ZX1000JD/KD [B]

Steering Stem Bearing LubricationWarning Indicator Light (LED)
Light (LED) Inspection
The warning indicator light (LED) [A] is used for the FI indicator,
immobilizer indicator (immobilizer equipped models),
water temperature warning indicator and oil pressure
warning indicator.
In this model, the warning indicator light (LED) (FI/immobilizer)
goes ...
Rear Wheel Installation
Apply high-temperature grease to the grease seal lips.
Fit the collars on the both sides of the hub.
Left Side Collar [A]
Right Side Collar [B] (with Flange)
Engage the drive chain with the rear sprocket.
Install the caliper bracket [A] onto the stopper [B] of the
swingarm.
...
Fuel Hose Replacement
Remove the fuel tank (see Fuel Tank Removal in the Fuel
System (DFI) chapter).
WARNINGFuel is flammable and explosive under
certain conditions
and can cause severe burns. Be prepared
for fuel spillage; any spilled fuel must be completely
wiped up immediately. When the fue ...