This study was done on rodents, and the problem with the reporting of it is that rats are >100x more sensitive to this kind of light than humans are.
For white light, below about 5-10 lux, it is very hard to measure melatonin suppression in humans. This study finds that rats have significant melatonin suppression at 0.1 lux, which has been known since 1974 (Minneman et al) at least.
Still, don't sleep with the TV on, and don't see bright (room) light within a couple hours before bed, because that will actually suppress total melatonin by a significant percentage.