He had a girlfriend a month before we met maybe even Less?

I feel weird because we have been seeing each other for like a month now. But before we started going out he had a girlfriend of i think of a year and a half. She claimed he cheated on her like he was texting me and now i feel like that’s what he’s like. I feel like he’s trying to get into a relationship with me but I don’t understand how he can just move on the quick from his ex girlfriend. He told me that he let go of it a long time before they broke up but I don't know if I believe him. Is he just a man that always needs to be in a relationship? I’m gonna say my concerns when he like asks to be serious or something? Can u guys help me on what I should say and what u think?
He had a girlfriend a month before we met maybe even Less?
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