Hey Jen,
I have to say first that I am so glad to be out of the dating scene. LOL
Also, I think it's really smart on your part to keep your daughter out of it before you know something. It does, however, lead M. to a question: Is he waiting to see what it will be like to be not J. your partner but this little girls dad? If that's the case I think that makes him pretty smart, too, because he realizes on some level that this is a dual commitment and how is he to know if he is ready for that if he isn't around. Are there other times and places you can "run into him" when your daughter is around. Introduce him as a friend and J. kind of all be in the same place at the same time but not at your house, not over for dinner, not like a family date?
Also, has something happened to make you guys be on different pages? What page is he on?
A week isn't that long a time. Is it for you to think and get clarity about what you want without him there clouding up the picture? Is he supposed to be thinking, too, or J. hanging out waiting to hear something?
If there is any part of you that is thinking that if you do this he will miss you so much that he will come around to your way of thinking (and I'm not saying there is) J. a word of warning: that could really backfire if he thinks he is being manipulated in any way, so you will want to be clear that's definitely not the case.
I don't think I was really helpful here, J. asked a bunch of questions. Sorry. :/