How to prevent scarring when cut is almost healed?

I had a bad big abrasion on my skin, had cleaned it daily and always covered it with neosporin and bandage, and than i would start to let it breathe and air out, since it has stopped pussing, and all of the crust is off of it. Now the skin is just red on it, it looks like it is very close to healing. Thing is, what if it leave a big huge scar area? A whole area of scar tissue? Ick! How can I prevent this from happening at this point? Should I put more neosporin on it, or will that just throw off natures course since it is already healing? Only asking because ppl always say neosporin prevent scars.