You've been dating a few months, I think you need to slow down. Are you too even very serious with each other? I find it odd that you are already thinking of all these future things, after a few months. Especially, since you have a child of your own. I would be very surprised, if he is thinking about these things. Many men, will not want to have these talks after a few months. That's very soon.
Also, my gut says...if you can't tell just by knowing him, that he'll be a good father...that's not good. You either don't know him enough, or he simply isn't father material. I KNEW my husband would be a great father, without ever seeing him around a child. I never even had to question, or wonder.
If it were me, I would never bring another man around my child, until I knew in my heart I would marry him. (And he would marry me.) I'm not saying I'd wait until we were engaged and they'd have to rush getting to know each other, before a wedding! If I knew marriage was in the cards, they could meet. If they did not take a liking, I would not marry the guy, ever. If they did, I could proceed with the serious nature of the relationship. I think that protects my child in many ways. 1. He does not get attached and then have the man leave, because I introduced too early. 2. It ensures, that the man is interested in ME, not my child. 3. It gives me time, to follow through with going down the road of marriage. 4. It gives my child and the man time to build a strong relationship, while I know the man is going to be around a long time.
He has been around your child some, already. I suspect, that you have to ask, because you don't see a dad there. Why else would you have to ask, and have these worries? The first time I saw my husband with a child, it took all of 5 seconds to see what kind of father he would be. You should not be left with these questions. I would move on from him, personally.