my ds2 was exactly like this- we just ended up co-sleeping fulltime as it worked out to be the best thing for both of us. we are still co-sleeping now (he's 17 months). he only really feeds once or twice overnight now, so i don't really mind- he still loves to be snuggled up to me though. i'm really enjoying it, as he's my last baby so i'm making the most of it iykwim?
i don't think you've created a problem at all. your baby just likes being close to you. he's so young at the moment, so if you're comfortable with it, i would just 'go with it' and follow his lead. you sound like you're doing a great job