LT3092
Production
The LT3092 is a programmable 2-terminal current source. It requires only two resistors to set an output current between 0.5mA and 200mA. A multitude of...
Datasheet
LT3092 on Analog.com
Hey,
Is it possible to bypass the minimum current of 0.5mA of the LT3092 to avoid it to go trough the load?. Specially for the case when the load is near to 0Ohms.

Hello,
the LT3092 does see only 'one' load for his pins where he sources the minimum of 0.5mA.
If you want to separate the output current into two 'streams', one for the minimum output current of 500uA and one for your 'real' load I would suggest to use another LT3092 in parallel to your load which will be configured for your minimum load as well. So you have a stack of two 3092 where the lower LT3092 is working in parallel to your load.
Do you have enough voltage headroom to do so?
kr
Markus
Hey MarkusHP,
sorry for the late answer. I think another LT3092 in parallel to the load wouldn't work when the output Voltage of the 'upper' LT3092 is lower then 2V.
Any other suggestions?