Wiring switch backlight to coincide with headlights

Is there a way that I can wire up the aftermarket push button light bar switch so the switch backlight will turn on when the vehicle's lights are on? It comes on when pressed in as advertised, but it can be hard to see the button when it's dark. It would be nice if the backlight came on when I turned on my headlights even when the switch is not activated. I'm assuming I have to tie into the fuse somewhere, but not sure exactly how.

 

The crystal ball shows no image of the switch or connector your vehicle has...so it's a guess...yes.

 

Ok, I guess I failed to clarify that so thank you. It is the CaliRaised factory-like switch that goes in a blank spot on the dash.

 

Maybe wire colors are not the same:

 

Thanks, I'll pop the switch out when I have time and see what I have. I apologize for not being more clear on what I was asking. Appreciate it.