Tried several apps to control LED behavior, however none of them does the following: switch the LED off when the screen is on, and leave standard LED behavior when the screen is off.

I mean, the light is kind of annoying when reading something off the screen, but, on the other hand, it is nice to easily see the status of the device when the screen is off...

Is there any piece of software that can switch the LED off when and only when the screen is on?