Photography is what I do, but the aspects of light quality is the same whether it's photo or video.
It's just the quantity aspect that is different.
Say I'm shooting something like a dance competition, one with fast paced moves, rather than slow, graceful ones. I'm aiming for 1/1000th or bare minimum 1/500th to freeze action.
But for video, the general rule is a shutter speed twice that of your frame rate. So if you're shooting at the cinematic standard 24fps, you only need a shutter speed of 1/48th.
Which actually reminds me of another thing I would recommend. With your max shutter speed being limited to as low as 1/48th, the thing I hear from my video friends more often, rather than not enough light, is too much light, especially when shooting wide open or outdoors. So grab a good quality variable neutral density filter.