I've noticed that sometimes during the conversation I use the PP first and then I want to add an additional information on the exact time, e.g.
Yeah, I've already told you about that (pause)... yesterday.
Is it considered a correct usage in conversation or should I use something like this?
Yeah, I've already told you about that (pause)... I did it yesterday.
I really don't want to add that 'I did', especially when I'm discussing something important; but I'm not sure whether or not it sounds fine for a native speaker since my interlocutors are not native speakers and they don't care much.