Kinda need some help

So I am currently 13 weeks and 4 days pregnant but the babys dad doesn't think it's his kid because of my background in the past. Well, needless to say I asked him if when the baby is here if he would please be at the hospital to get a DNA test and he said no that he is completely done with me. I don't know what to do because I grew up without knowing who my real father was and don't want my kid to.