I used to be just like you and let me tell you right now, you will destroy your relationship doing that. As cliche as it sounds, in order to maintain a healthy relationship, you have to love yourself first, everyone else comes second, no matter who they are. You have to be at the point where, if your mate were to leave you tomorrow, you would be okay with it. Once you learn how to think this way, life is so much better. This doesn't mean you shouldn't care about them and love them. You need to learn how to control these feelings though.
Everyone needs their space. Everyone needs to be alone sometimes, and I'm sure your mate wouldn't want you to be worrying about him all the time. He would probably much rather you be catching up on your own alone time and being happy.