First of all if he’s really interested, he should respect you and give you more time if you need. Secondly, I think that you watch too many movies and you’re expecting romance and infatuation as opposed to reality- a connection and respect.
Ask yourself these questions: DO you enjoy being with him? Do you l respect him? Would you be okay introducing him to people? Are you okay with him being the father of your kids? If there are positive answers, I say go for it! Let us know what happens.