Anyone else experienced this issue or is it just me? You're talking to someone, and by the end of the conversation you're looking at the ground or maybe over their shoulder? I'm just wondering. I play on a PC, by the way.

Your character drunk again. jk
If you stop for the same amount of time (nobody in front of you) does it still do it?

I'm not positive that this addresses your problem but I find if I let the pointer go to the edge of the screen during dialogue I tend to start looking away from the speaker....try to put your curser/pointer in the center of the screen.

I hope that helps you.