So sentir always needs a pronoun, even when it is unnecessary for a specific case? You would never say that sentence with anything besides "me," so why is it necessary? I can't feel tired to you, after all.
Just "like that"? And you should just remember which verbs act that way?
It's not that I don't believe you or anything, but if it's possible for you - or anyone else - I would really love to hear an explanation for that, since it's a mystery to me :)
"Always I feel tired" is not the way most English speakers would say it. -unless maybe the person was very upset about it, and said "ALWAYS I feel tired!" -even then, most English speakers would say "I ALWAYS feel tired!"