Change your mindset, and worry less about frames.
An ounce of prevention is worth a pound of cure, so it's better to get yourself in a good state before your socializing, rather than getting hit with anxious thoughts mid conversation.
If your already in a conversation and you feel conscious about being needy, then it's best to remind yourself that you are an outcome independent individual, and however this person reacts to what they may perceive as neediness is not your concern and you have bigger things to worry about. I guess it's sort of a "fake it till you make it" approach, but works surprisingly well if you can convince yourself this is how you genuinely feel, which you should.
I like to remind myself that I can't control another persons thoughts or actions, and that they're feelings are not my responsibility. Much more liberating, wouldn't you say?