His phone

I have really bad anxiety about his phone. He is always extremely protective over it to where he freaks out if I do much as move it. And when he opens his pictures or messenger he always finds some way to move out of my view. He says for the pictures, it's because he has pictures that he wants to surprise me with. Like, funny pictures. I've told him about my anxiety and asked to look through his phone for reassurance but he said that he knows my anxiety won't go away until we live together. I don't know what to do. It makes me really nervous.