Pregnant and dating?

My ex and I broke up. Then I found out I was pregannt. I told him and he wanted nothing to do with it so I decided that I was going to be a single mother (and that was fine with me) then a good friend started coming back around and we have been talking for 2months now. I am 10 weeks pregnant and he tells me everyday that he doesn't mind but I think deep down he does. Has anyone had a relationship like this? Has it worked out. I just don't want him to feel responsible to take care of a baby that is not his...