How do I get my boyfriend comfortable around our daughter?!

ree • Trying to be an amazing mom to an amazing little girl 💕

Help! I have a 3 month old daughter and her dad isn’t comfortable being alone with her. I asked him to watch her for about 5 hours tonight while I go babysit a friends child and he said “ I don’t think I’ll be able to do it because she’s used to being around you.” Then he asked “why can’t you take her with you?” What can I do to make him comfortable with her and changing diapers and putting her to sleep?