This is my first pregnancie

I've been in my relationship for eight months now and my boyfriend has a daughter from a previous relationship. When we first started dating I asked how would he feel if his daughter and I didn't bond because I already feel uncomfortable like im intruding on their time, he told me she's an easy kid she likes you.

Fast forward some

His daughter is five. We don't live together he has a place I have mine so i go over as much as I can when im not working typically she's not there so we haven't interacted as much and our first interaction didn't go well but when she is she's on her tablet or on her way to bed and if she is there I won't stay the night I'll go hang out for a bit and go home

Fast forward to now

Recently he asked did I like being around her and it's not that I don't its just really uncomfortable for me. Then. He goes to say well eight months and you haven't tried to get to know her this can't continue we should just end it. I feel like its putting alot of pressure on a situation that to me should come naturally I don't want to force it. It feels like an unfair ultimatum or maybe I'mjust overreacting, I told him I'll try but I don't know and ultimatum when I'm three months with my first child is alot of pressure.

Any advice?