When I first made a t-shirt nobody had told me that sewing with knitted fabric was any different to sewing with woven fabric. I treated it exactly the same (cotton with a bit of elastane, so not particularly slithery) and had no problems at all. I make a lot of t-shirts, and I don't have an overlocker, I don't use a stretch stitch, and half the time I forget to change to a stretch needle.
They're my most successful items.