Relationships

Me and my boyfriend have been together for almost 4 months, for the past 2 months I have been living with him (in the beginning it was just because his ex still lived in the same house, however she has moved out now) I didn't want to just go back to my parents house because she was gone, but I'm also scared he might get tired of me being around all the time. Him and his ex lived together their entire relationship, although they broke up because she cheated I don't want our relationship to have the problems they did. Am I hit over thinking or should I talk to him about this?? 😓