I fear for my daughter's safety when she visits her non custodial dad. Can I stop him from seeing her unless supervised?

My daughter is only a year old and her father doesn't spend much time with her. When my daughter sees him she screams, cries, and even tries to hide from him. The daycare as well as family members are even concerned because she only does that when she sees him. It's like she's scared to be alone with him. We planned and conceived my daughter while he was secretly in a relationship with another woman who is jealous of his interaction he has with my daughter. I don't feel comfortable allowing my daughter to be around either of the unsupervised due to nature of the situation and my daughter's reaction when she sees him. He also has been hiding my daughter due to the fact that he is embarrassed that he had a child outside of his relationship. He also has been emotionally unstable and at times suicidal which makes it even harder to trust him around our child. My main concern is that my baby can't speak to say what's wrong and how afraid she becomes in his presence.