In my experience, most moss isn't very picky and will grow even in very low light. My java moss is growing like crazy in my fluvial chi with only the very dim LED light that came with it. I have mosses in all my tanks, several different kinds (java, x-mas, and weeping moss) and under various kinds of lighting (daylight only, T5HO, stock T8 which I think is what you have, and LED lights) and it's thriving in all my tanks. Java moss in particular is extremely easy to grow and won't require anything special. If you have enough light to see the moss it has enough light to grow.