Possible Favoritism by partner 😕

Hey ladies, so I have a 7 year old daughter and am currently pregnant with my second child (from a different dad). My partner to me always makes me worry that when this baby comes he will be all about him/her and pretty much put my daughter on the back burner as someone not as important. It’s a horrible thought but he always stresses the fact that this will be “his first child” and then said that if we have a girl she will be the princess of the house, I looked at him and said there will be 2 princesses in this house. And he just changes the subject... I understand my daughter is not his but to be in my life you need to treat my daughter with a respect you would give your own. It just worries me that he will be all about the new baby as its his own and just pretty much favor this new baby over my child I already have and the thought of that upsets me. If any of you ladies have an opinion I would love to hear it.