fwb or more

so I am in college and have been seeing this guy since august. he comes over almost every night and even when i know he's tired he'll still come see me. he's drunk called me a few times but we aren't together (officially). we both said in the beginning we weren't looking for a relationship but i think i want more. the only problem is that i have invited him out with me and my friends a few times and he always comes up with an excuse. when we're together in private he's super lovey dovey but doesn't wanna go out in public. i am scared to bring it up because i don't wanna ruin what we have, but idk what else to do!!