Should I tell my partner I've been feeling insecure in the relationship?

First of all I'd like to say that I do not have the intention to break up and there's so much love between me and my partner. We've been living together for almost one year now and the experience has been great. We don't argue much but last month we had an argument and were upset with each other for a few days and since then I've been feeling insecure. I have this fear that my partner might leave me and that I'm not what my partner needs. He never said that he wanted to leave or break up though. I'm doing my best to be a good partner but I feel that he's going to leave me for someone better and these thoughts are killing me.

Should I tell my partner I've been feeling insecure in the relationship?
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